{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "FractionalFlow"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load the package\n",
    "include(\"../FractionalFlow/FractionalFlow.jl\")\n",
    "using PyPlot, SetPyPlot, NLopt, Dierckx\n",
    "import Calculus\n",
    "import GR\n",
    "FF = FractionalFlow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Water-flooding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAG0CAYAAAA7Go31AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3Xl8VPW9//H3zCQz2cOSjSUQNkVUSAmQgnWPYvWh0PZqtFgocumvioqki3KtgNo22qo3vcIV2yvaRQqtdelVC9VYcMOLgqgoS9gDZGXJMpCZZOb8/kgyISaRTJiZE2Zez8fjPJj5zjkzn0xvO+/7Xc7XYhiGIQAAgDBkNbsAAACAYCHoAACAsEXQAQAAYYugAwAAwhZBBwAAhC2CDgAACFsEHQAAELYIOgAAIGwRdAAAQNgi6AAAgLBF0AEAAGEryuwCQs3r9erw4cNKTEyUxWIxuxwAANANhmGorq5OAwcOlNXa/X6aiAs6hw8fVmZmptllAACAHigtLdXgwYO7fX7EBZ3ExERJzV9UUlKSydUAAIDuqK2tVWZmpu93vLsiLui0DlclJSURdAAAOMv4O+2EycgAACBsEXQAAEDYIugAAICwRdABAABhi6ADAADCFkEHAACELYIOAAAIWwQdAAAQtgg6AAAgbBF0AABA2CLoAACAsEXQAQAAYSviNvUEAAD+83oNeQxDHq8hb+u/XrVra22PtlmVnhRjdsmSCDoAgAhmtPwwN7UcHo+hRq9XHq+hRo/X91rrj3yTp/nH3NfWenTR1vr41PfweL90GM2f2+61Ttq8LZ/fWVtrTae+76l1NnXR1laTTgkvnQQaw7/vNWdoX/3t9inB+Q/NTwQdAEC3tP74uz1eNXlaHjd51ejxqslrtHvc2NT+vNYf2tbw0Og15Glp7/Cax5DH6235tyWEnHrdKa+dGkaa2l3fFliaPIaavF967ZTrEBhWi2SzWmSxWBRts5hdjg9BBwB6AU9LUHA3eeXyeJr/bXnubgkNvtebPG2vndLeHEKaf/AbPc1hoLHbj9vamjyG3J08NiIoE0RZLbJZLb5/mw+rbFYpymqV1SrZLB1fa9/WfFgtX36ftjbrKZ/x5Tbfa5aObVZLW31fbms9Omuztbzfl2vp8NhikdUq3/Mvt7e2tb0uWSy9J9yciqADAJKaPF41NHnV0OhpOZofu5raHjc0ets/b2prc3cSSk4NKi5PW0jpLLycjT0LUVaLomwWRdusstusnT6Otlnbndf8A9zWFtUSEqJtzT+YvnNOfc1qkc1mUbTV2nJOc3vbOW3Xtb4W3fpjb2v+vI7ntNTR8h5RrXW2XNdbf7ThP4IOgF7NMAydbPTohNujk+7mf0+4m9oeN3p00t3U0t52TnMI8cj1pVByapA5NbT0pqBhsUh2m1X2KKscUVY5omyyR1l9ba3tX26ztwSL5uOUoGGztLxmUXSUVdFWq6KjLC0hxCr76R63XGs/5f2irVZZrYQB9H4EHQAB4/Uacrqb5HR5VO9qVL3Lo/qGplMeN8rp9sjpamoLJZ0Flca2IHOy0RPyIRN7lFUxUVbFRNtajpbHUTY5ok9pj7LKEd0WRE4NHw5fIOkYUtoCjFV2m61DeImiRwEIGIIOAElSQ6NHtScbVdvQqJqTjao92aSak42qa2hUnatJTleT6hua2h67mnzhpd7VGm6aglpjTLRVcfYoxUbbFGdvPmLttuY2u01x0a1tUaeEk/aBxdESWGKivxRkopofO6LoqQDCCUEHCCMNjR4dO+HWUadbNSc6hpaadkGm9Xnza+4mb8DqsFktSnBEtR0xbY/jHc3BpC2onPI4+pTQYrcp/pTHsdE2AggAvxF0gF7K3eTV8RNuHW0JLsecjTp6wq1jzubnza81+p4fO+HWCbfnjD7TapGSYqOVFBOt5NhoJcVGKdERrcSYKMU7onz/JrQ+trcPMa2PHVFWhl4A9AoEHSCEPF5DR5wuVdU1H9X1bt/jqnqXquoafM9rG3o2DBRltahvvF3JsdHtjqSYqJbwEt0hzLSeE2+PotcEQFgh6AABYBiG6lxNKq9pUFlNg8qOn1RZTUPz89q28HLU6fLrDqNWi9Q3zq4+cdHqF29X3zh787/xdvWLa/k3Prpde6Ijit4UAGhB0AG6ocnjVVlNg0qPnlDpsRM6dKw5yDQfJ1Ve0yBnN4eNLBapf7xDqYktR4JDKYl2pSa0taUlOtQ/3qHk2Gh6WADgDBB0ADX3yBx1unXg6AmVHjvZHGhaQs2Boyd0+HiDPN3oiukTF62MpBgNSI7RgD6xGpAUo/TkGKUnxSglwa7URIf6xdkVZbOG4K8CABB0EFFOuj3aW+3Unup67alyandV8797q52nXRptt1k1uG+sBveL0+C+sRqYHKOM5NZ/m484O/+VAoDepFf8r/KyZcv061//WuXl5Ro3bpyefPJJTZo0qdNzL7vsMq1fv75D+7XXXqvXXnst2KXiLHHS7dHOijptL6/VtrI6X6A5dPxkl9dYLFJ6YoyG9IvT4H6xyuwbpyH94pTZL06Z/WKVnhjDMBIAnGVMDzqrV69WQUGBli9frtzcXBUVFWnq1KnasWOH0tLSOpz/4osvyu12+54fOXJE48aN04033hjKstFLGIahg8dOaltZrbaXNweb7WV12nvE2eXddJNjozUiNV7DUxM0PDVew1MSNCI1XkP6x8kRZQvtHwAACCqLYZi7H21ubq4mTpyopUuXSpK8Xq8yMzN111136b777jvt9UVFRVq0aJHKysoUHx9/2vNra2uVnJysmpoaJSUlnXH9CB3DMFRW06BPDx7XJwdr9EnpcX12qEZ1XSzD7h9v13kDknRuRqJGpSVoRFqChqfEq1+8nVVJAHCW6envt6k9Om63W5s2bdLChQt9bVarVXl5edqwYUO33uOZZ57RzTff3K2Qg7NLQ6NHnx6s0Yf7jurjA8f0ycEaVdW5Opxnt1k1Mi1Bowck6ryMJI0ekKjRGUlKTXSYUDUAoDcxNehUV1fL4/EoPT29XXt6erq2b99+2us3btyorVu36plnnunyHJfLJZer7cextra25wUjqOpdTdq8/5g27j2qjXuPasvB4x22JbBZLTo3PVHjMvto3OBkjR3cR6PSExTNKiYAQCdMn6NzJp555hldeOGFXU5clqTCwkI9+OCDIawK3eXxGvrk4HGt31Glt0uq9OnBmg5LuFMSHMod1k/jh/ZVdmayxgxIVqydeTQAgO4xNeikpKTIZrOpoqKiXXtFRYUyMjK+8lqn06lVq1bpoYce+srzFi5cqIKCAt/z2tpaZWZm9rxonJGK2gat31ml9Tur9G5JtWpONrZ7PbNfrCZm9VPusH6aNKy/svrHMZ8GANBjpgYdu92unJwcFRcXa/r06ZKaJyMXFxfrzjvv/Mpr//rXv8rlcunWW2/9yvMcDoccDuZqmGl3Vb3WbC3Xmq3l+uxQTbvXkmKidPGoVF1yToq+MSpVg/rEmlQlACAcmT50VVBQoFmzZmnChAmaNGmSioqK5HQ6NXv2bEnSzJkzNWjQIBUWFra77plnntH06dPVv39/M8rGaeyuqtcrHx/SP7aWq6Sy3tdusUhjB/fRpeek6tJzUjRucB/uEgwACBrTg05+fr6qqqq0aNEilZeXKzs7W2vWrPFNUD5w4ICs1vY/hDt27NC7776rf/7zn2aUjC5U17v06ieH9dLHh/TJwbaem2ibRVNGpOiaCzJ01Zh0pSTQwwYACA3T76MTatxHJ7C8XkPv7qrWnz7Yr+Ltlb7JxDarRZeMStEN2QN1xeh0JcdGm1wpAOBsdlbeRwdnr2NOt17YdFDP/99+7Ttywtc+bnCypn9tkK4fN5CeGwCA6Qg68MvBYyf0u7f3aPVHpWpobL7HTaIjSt/JGawZuUM0Kj3R5AoBAGhD0EG37Kqs03+v262/bzmsppbhqTEDkvS9yUN1w7iBinfwf0oAgN6HXyd8pf1HnPrV2h16/bMy3yaZF43sr3mXjdTkEf25xw0AoFcj6KBTx5xuPfnWLv3xg31q9DQnnKnnp+uOy0ZqXGYfk6sDAKB7CDpoxzAMPfPuXv2muMS3K/gl56Rq4TdH67wBrFIDAJxdCDpo58XNh/Tz17ZJkkZnJOo/rj1Pl5yTanJVAAD0DEEH7fzlo1JJ0m0XDdP9150nm5U5OACAsxf33ofPwWMn9H97j8pikf794mGEHADAWY+gA5+XPz4kSfr6sP4ayOaaAIAwQNCBpOZJyC+2BJ1vjx9kcjUAAAQGQQeSpE8P1mhPlVMx0VZ988IBZpcDAEBAEHQgSfr7J4clSVePyVACdzkGAIQJgg4kSZ8dqpEkXT6apeQAgPBB0IEkaVdlvSRpVBqbcgIAwgdBBzpS79JRp1sWizQiNcHscgAACBiCDlTS0puT2TdOsXabydUAABA4BB34gs6oNHpzAADhhaAD7aqokySNTCfoAADCC0EHp/ToMBEZABBeCDpg6AoAELYIOhHu+Am3qupckqQRBB0AQJgh6ES41vvnDOoTyx2RAQBhh6AT4VqHrUbSmwMACEMEnQhXUsH8HABA+CLoRLiSyual5aNYWg4ACEMEnQi3i6ErAEAYI+hEsBPuJpXVNEhijysAQHgi6ESwfdUnJEn94u3qE2c3uRoAAAKPoBPB9lQ3D1sNS4k3uRIAAIKDoBPB9lY5JRF0AADhi6ATwfZWE3QAAOGNoBPB9rQEnRGpBB0AQHgi6EQowzC0p6p1jg4rrgAA4YmgE6GOOt2qbWiSxSIN7R9ndjkAAASF6UFn2bJlysrKUkxMjHJzc7Vx48avPP/48eOaN2+eBgwYIIfDoXPOOUevv/56iKoNH63zcwYmxyom2mZyNQAABIep21WvXr1aBQUFWr58uXJzc1VUVKSpU6dqx44dSktL63C+2+3WVVddpbS0NL3wwgsaNGiQ9u/frz59+phQ/dmtdX7OcObnAADCmKlB54knntDcuXM1e/ZsSdLy5cv12muvacWKFbrvvvs6nL9ixQodPXpU77//vqKjoyVJWVlZoSw5bOxhaTkAIAKYNnTldru1adMm5eXltRVjtSovL08bNmzo9Jq///3vmjx5subNm6f09HRdcMEF+uUvfymPx9Pl57hcLtXW1rY7IO1tuVngcIIOACCMmRZ0qqur5fF4lJ6e3q49PT1d5eXlnV6zZ88evfDCC/J4PHr99df1wAMP6PHHH9fPf/7zLj+nsLBQycnJviMzMzOgf8fZyncPHfa4AgCEMdMnI/vD6/UqLS1Nv/3tb5WTk6P8/Hzdf//9Wr58eZfXLFy4UDU1Nb6jtLQ0hBX3Th6voX1Hmve5okcHABDOTJujk5KSIpvNpoqKinbtFRUVysjI6PSaAQMGKDo6WjZb2yqh8847T+Xl5XK73bLbO25M6XA45HA4Alv8We7w8ZNyN3llt1k1sE+s2eUAABA0pvXo2O125eTkqLi42Nfm9XpVXFysyZMnd3rNRRddpF27dsnr9fradu7cqQEDBnQactC5XZXN83OyUuJks1pMrgYAgOAxdeiqoKBAv/vd7/T73/9e27Zt0+233y6n0+lbhTVz5kwtXLjQd/7tt9+uo0ePav78+dq5c6dee+01/fKXv9S8efPM+hPOSiWVdZKkUemJJlcCAEBwmbq8PD8/X1VVVVq0aJHKy8uVnZ2tNWvW+CYoHzhwQFZrWxbLzMzU2rVrtWDBAo0dO1aDBg3S/Pnzde+995r1J5yVSiqae3RGpTERGQAQ3iyGYRhmFxFKtbW1Sk5OVk1NjZKSkswuxxTTl72nLaXHtey743Xd2AFmlwMAwGn19Pf7rFp1hTNnGIZvjs6odHp0AADhjaATYcprG1TvapLNalFWf5aWAwDCG0EnwrTOz8nqHyd7FP/xAwDCG790EaakddgqjRVXAIDwR9CJMLt8S8uZnwMACH8EnQjTOnQ1kqXlAIAIQNCJIIZhMHQFAIgoBJ0IUl3vVs3JRlkt0vBUVlwBAMIfQSeCtG79MKRfnGKibac5GwCAsx9BJ4K03ihwJMNWAIAIQdCJIL49rlhxBQCIEASdCOLbtZwVVwCACEHQiSC7WHEFAIgwBJ0IcdTpVnW9W5I0Io0VVwCAyEDQiRCtvTmD+8Yqzh5lcjUAAIQGQSdCMD8HABCJCDoRom3FFfNzAACRg6ATIdruoUOPDgAgchB0IgRDVwCASETQiQA1JxtVUeuSRI8OACCyEHQiQOuw1YDkGCXGRJtcDQAAoUPQiQC7Woat6M0BAEQagk4E8K244o7IAIAIQ9CJACWsuAIARCiCTgTYW+2UJA1PZesHAEBkIeiEOVeTRwePnZBE0AEARB6CTpgrPXpCXkNKcEQpNcFhdjkAAIQUQSfM7alqHrYalhIvi8VicjUAAIQWQSfM7aluCzoAAEQagk6Y21tF0AEARC6CTphjxRUAIJIRdMJc69DV8BTuoQMAiDwEnTBW29Co6vrmzTyzUuJMrgYAgNAj6ISxfS29OamJDjbzBABEpF4RdJYtW6asrCzFxMQoNzdXGzdu7PLc5557ThaLpd0RExMTwmrPHnuYiAwAiHCmB53Vq1eroKBAixcv1ubNmzVu3DhNnTpVlZWVXV6TlJSksrIy37F///4QVnz2aJufQ9ABAEQm04POE088oblz52r27NkaM2aMli9frri4OK1YsaLLaywWizIyMnxHenp6CCs+e7DiCgAQ6UwNOm63W5s2bVJeXp6vzWq1Ki8vTxs2bOjyuvr6eg0dOlSZmZmaNm2aPv/881CUe9bZW928a/kwVlwBACKUqUGnurpaHo+nQ49Menq6ysvLO73m3HPP1YoVK/TKK6/oT3/6k7xer6ZMmaKDBw92er7L5VJtbW27IxIYhnHKzQJZcQUAiEymD135a/LkyZo5c6ays7N16aWX6sUXX1RqaqqefvrpTs8vLCxUcnKy78jMzAxxxeYoq2mQ0+1RlNWiof0ZugIARCZTg05KSopsNpsqKiratVdUVCgjI6Nb7xEdHa2vfe1r2rVrV6evL1y4UDU1Nb6jtLT0jOs+G5RUtg5bxSvadtblWQAAAsLUX0C73a6cnBwVFxf72rxer4qLizV58uRuvYfH49Fnn32mAQMGdPq6w+FQUlJSuyMSlFTUSZJGpTM/BwAQuaLMLqCgoECzZs3ShAkTNGnSJBUVFcnpdGr27NmSpJkzZ2rQoEEqLCyUJD300EP6+te/rpEjR+r48eP69a9/rf379+vf//3fzfwzep1dLT06I9MSTa4EAADz+BV0mpqatHLlSk2dOjVgS7rz8/NVVVWlRYsWqby8XNnZ2VqzZo3v/Q8cOCCrta3j6dixY5o7d67Ky8vVt29f5eTk6P3339eYMWMCUk+4aB26GpVGjw4AIHJZDMMw/LkgLi5O27Zt09ChQ4NVU1DV1tYqOTlZNTU1YTuMZRiGxj34T9U2NGnNPRdrdEZ4/p0AgMjR099vv+foTJo0SVu2bPH3MoRQVZ1LtQ1NslrY/gEAENn8nqNzxx13qKCgQKWlpcrJyVF8fPsf0rFjxwasOPRM67BVVv94OaJsJlcDAIB5/A46N998syTp7rvv9rVZLBYZhiGLxSKPxxO46tAjrSuuRjI/BwAQ4fwOOnv37g1GHQgg30RklpYDACKc30HnbJ2EHEnaVlyxtBwAENl6dB+d3bt3q6ioSNu2bZMkjRkzRvPnz9eIESMCWhx6pu0eOvToAAAim9+rrtauXasxY8Zo48aNGjt2rMaOHav/+7//0/nnn6833ngjGDXCD0fqXTrqdMtikUakEnQAAJHN7x6d++67TwsWLNAjjzzSof3ee+/VVVddFbDi4L/WYavBfWMVa2fFFQAgsvndo7Nt2zbNmTOnQ/ttt92mL774IiBFoeeYnwMAQBu/g05qamqnNwzcsmWL0tLSAlIUem5X62aezM8BAMD/oau5c+fqBz/4gfbs2aMpU6ZIkt577z09+uijKigoCHiB8E8JE5EBAPDxO+g88MADSkxM1OOPP66FCxdKkgYOHKglS5a0u4kgzNF2Dx2GrgAA8DvoWCwWLViwQAsWLFBdXfMwSWIiP6q9wfETblXVuSTRowMAgNSDOTpXXHGFjh8/Lqk54LSGnNraWl1xxRWBrQ5+ab1/zsDkGCU4enSLJAAAworfQWfdunVyu90d2hsaGvTOO+8EpCj0jG9+DsNWAABI8mPo6tNPP/U9/uKLL1ReXu577vF4tGbNGg0aNCiw1cEvJRWtS8sZtgIAQPIj6GRnZ8tischisXQ6RBUbG6snn3wyoMXBPyWVLC0HAOBU3Q46e/fulWEYGj58uDZu3KjU1FTfa3a7XWlpabLZuBOvmXaxazkAAO10O+i07lru9XqDVgx6rq6hUWU1DZKkkanM0QEAQOrBZOTCwkKtWLGiQ/uKFSv06KOPBqQo+K+1Nyct0aHkuGiTqwEAoHfwO+g8/fTTGj16dIf2888/X8uXLw9IUfBfCcNWAAB04HfQKS8v14ABAzq0p6amqqysLCBFwX+72MwTAIAO/A46mZmZeu+99zq0v/feexo4cGBAioL/Slo28+SOyAAAtOnRpp733HOPGhsbfcvMi4uL9dOf/lQ/+tGPAl4gusc3dEXQAQDAx++g85Of/ERHjhzRHXfc4btDckxMjO69917fJp8IrRPuJh08dlISm3kCAHCqHm3q+eijj+qBBx7Qtm3bFBsbq1GjRsnhcASjPnTD7kqnJKl/vF394u0mVwMAQO/R450fExISNHHixEDWgh5qvSMy83MAAGivR0Hno48+0l/+8hcdOHCgwwafL774YkAKQ/extBwAgM75vepq1apVmjJlirZt26aXXnpJjY2N+vzzz/XWW28pOTk5GDXiNNo282R+DgAAp/I76Pzyl7/Uf/7nf+p///d/Zbfb9Zvf/Ebbt2/XTTfdpCFDhgSjRpzGLjbzBACgU34Hnd27d+u6666T1LyZp9PplMVi0YIFC/Tb3/424AXiqzU0enTg6AlJ0kiGrgAAaMfvoNO3b1/V1TX3IAwaNEhbt26VJB0/flwnTpwIbHU4rT1VTnkNKTk2WqkJrHwDAOBUfk9GvuSSS/TGG2/owgsv1I033qj58+frrbfe0htvvKErr7wyGDXiK5ScMmxlsVhMrgYAgN7F76CzdOlSNTQ0SJLuv/9+RUdH6/3339d3vvMd/exnPwt4gfhqu1hxBQBAl7oVdAoKCvTwww8rPj5eW7du1ZQpUyRJVqtV9913X1ALxFdrXXE1khVXAAB00K05Ok8++aTq65t/UC+//HIdPXo0oEUsW7ZMWVlZiomJUW5urjZu3Nit61atWiWLxaLp06cHtJ6zye6q5v9cRqTGm1wJAAC9T7d6dLKysvRf//Vfuvrqq2UYhjZs2KC+fft2eu4ll1ziVwGrV69WQUGBli9frtzcXBUVFWnq1KnasWOH0tLSurxu3759+vGPf6yLL77Yr88LJx6vof1HmieAj0hl6AoAgC+zGIZhnO6kl19+WT/84Q9VWVkpi8Wiri6xWCzyeDx+FZCbm6uJEydq6dKlkiSv16vMzEzdddddXQ6LeTweXXLJJbrtttv0zjvv6Pjx43r55Ze79Xm1tbVKTk5WTU2NkpKS/Kq1tyk9ekIX/+pfskdZte2ha2SzMhkZABCeevr73a2hq+nTp6u8vFy1tbUyDEM7duzQsWPHOhz+Dmm53W5t2rRJeXl5bQVZrcrLy9OGDRu6vO6hhx5SWlqa5syZc9rPcLlcqq2tbXeEiz3VzZt5ZvWPI+QAANAJv1ZdJSQk6F//+peGDRumqKge7wfqU11dLY/Ho/T09Hbt6enp2r59e6fXvPvuu3rmmWe0ZcuWbn1GYWGhHnzwwTOutTfa2zI/Z1gK83MAAOiM3zcMvPTSSwMScnqirq5O3/ve9/S73/1OKSkp3bpm4cKFqqmp8R2lpaVBrjJ0Wnt0hqUwPwcAgM6Yk1hapKSkyGazqaKiol17RUWFMjIyOpy/e/du7du3T9dff72vzev1SpKioqK0Y8cOjRgxot01DodDDkd43jF4b0vQGU6PDgAAnfK7RyeQ7Ha7cnJyVFxc7Gvzer0qLi7W5MmTO5w/evRoffbZZ9qyZYvvuOGGG3T55Zdry5YtyszMDGX5pttT1dKjw9JyAAA6ZWqPjtR8M8JZs2ZpwoQJmjRpkoqKiuR0OjV79mxJ0syZMzVo0CAVFhYqJiZGF1xwQbvr+/TpI0kd2sNdQ6NHh2tOSqJHBwCArvgddJ599lnl5+crLi4uIAXk5+erqqpKixYtUnl5ubKzs7VmzRrfBOUDBw7IajW146lX2n/khAxDSoqJUr94u9nlAADQK3XrPjqnSk9P18mTJ3XjjTdqzpw5vu0gzhbhch+df3xWptuf36xxmX30yryLzC4HAICgCup9dE516NAh/f73v1d1dbUuu+wyjR49Wo8++qjKy8v9fSucgT1MRAYA4LT8DjpRUVH61re+pVdeeUWlpaWaO3eunn/+eQ0ZMkQ33HCDXnnlFd9KKATPXt/ScoIOAABdOaPJL+np6frGN76hyZMny2q16rPPPtOsWbM0YsQIrVu3LkAlojMEHQAATq9HQaeiokKPPfaYzj//fF122WWqra3Vq6++qr179+rQoUO66aabNGvWrEDXilP47qHD0nIAALrkd9C5/vrrlZmZqeeee05z587VoUOH9Oc//9m3X1V8fLx+9KMfhdUdiHubY063jjrdkqSs/gQdAAC64vfy8rS0NK1fv77TG/q1Sk1N1d69e8+oMHStpLJ5j6tBfWIV7zD9VkgAAPRafvXoNDY2at++fafdZ8pisWjo0KFnVBi6VlJZJ0kalc4eVwAAfBW/gk50dLQ+/fTTYNWCbiqpaO7RGZVG0AEA4Kv4PUfn1ltv1TPPPBOMWtBNuypbg06iyZUAANC7+T3Bo6mpSStWrNCbb76pnJwcxce3nwz7xBNPBKw4dK516GokQ1cAAHwlv4PO1q1bNX78eEnSzp07271msVgCUxW6VNvQqIpalyRpJENXAAB8Jb+Dzr/+9a9g1IEKnyGKAAAgAElEQVRuah22ykiKUVJMtMnVAADQu/X4zsi7du3S2rVrdfLkSUmSn3uDood2tU5EZtgKAIDT8jvoHDlyRFdeeaXOOeccXXvttSorK5MkzZkzRz/60Y8CXiDa883PYdgKAIDT8jvoLFiwQNHR0Tpw4IDi4uJ87fn5+VqzZk1Ai0NHJay4AgCg2/yeo/PPf/5Ta9eu1eDBg9u1jxo1Svv37w9YYehcCUNXAAB0m989Ok6ns11PTqujR4/K4XAEpCh0zulq0qHjzXOiRqYSdAAAOB2/g87FF1+sP/zhD77nFotFXq9Xv/rVr3T55ZcHtDi0t7uquTcnJcGhvvF2k6sBAKD383vo6le/+pWuvPJKffTRR3K73frpT3+qzz//XEePHtV7770XjBrRgq0fAADwj989OhdccIF27typb3zjG5o2bZqcTqe+/e1v6+OPP9aIESOCUSNa+CYiMz8HAIBu8btHR5KSk5N1//33B7oWnMau1l3L6dEBAKBb/O7RGTlypJYsWaKSkpJg1IOv0NqjM5Kl5QAAdIvfQWfevHl67bXXdO6552rixIn6zW9+o/Ly8mDUhlM0NHp04OgJSQxdAQDQXT26YeCHH36o7du369prr9WyZcuUmZmpq6++ut1qLATW7qp6GYbUNy5a/VlxBQBAt/R4r6tzzjlHDz74oHbu3Kl33nlHVVVVmj17diBrwyl2nXJHZHaJBwCge3o0GbnVxo0btXLlSq1evVq1tbW68cYbA1UXvqR1aflIhq0AAOg2v4POzp079fzzz+vPf/6z9u7dqyuuuEKPPvqovv3tbyshgR/hYClhxRUAAH7zO+iMHj1aEydO1Lx583TzzTcrPT09GHXhS9jMEwAA//kddHbs2KFRo0YFoxZ0wdXk0f4jrLgCAMBffged1pCzadMmbdu2TZI0ZswYjR8/PrCVwWdf9Ql5vIYSY6KUlsjGqQAAdJffQaeyslL5+flav369+vTpI0k6fvy4Lr/8cq1atUqpqakBLzLSnTo/hxVXAAB0n9/Ly++66y7V19f7NvI8evSotm7dqtraWt19993BqDHitW3myfwcAAD84XePzpo1a/Tmm2/qvPPO87WNGTNGy5Yt09VXXx3Q4tBsT7VTkjQ8Nd7kSgAAOLv43aPj9XoVHR3doT06OlperzcgRaG9PVXNPTrDU5mIDACAP/wOOldccYXmz5+vw4cP+9oOHTqkBQsW6Morr+xREcuWLVNWVpZiYmKUm5urjRs3dnnuiy++qAkTJqhPnz6Kj49Xdna2/vjHP/boc88GhmFob0uPzrAUenQAAPCH30Fn6dKlqq2tVVZWlkaMGKERI0Zo2LBhqq2t1ZNPPul3AatXr1ZBQYEWL16szZs3a9y4cZo6daoqKys7Pb9fv366//77tWHDBn366aeaPXu2Zs+erbVr1/r92WeDyjqXTrg9slktGtIvzuxyAAA4q1gMwzD8vcgwDL355pvavn27JOm8885TXl5ejwrIzc3VxIkTtXTpUknNQ2OZmZm66667dN9993XrPcaPH6/rrrtODz/88GnPra2tVXJysmpqapSUlNSjmkNpw+4juuV3Hyirf5zW/eRys8sBAMAUPf397tFeVxaLRVdddZWuuuqqnlzu43a7tWnTJi1cuNDXZrValZeXpw0bNpz2esMw9NZbb2nHjh169NFHOz3H5XLJ5XL5ntfW1p5RzaHGsBUAAD3n99DV3Xffrf/6r//q0L506VLdc889fr1XdXW1PB5Ph20k0tPTVV5e3uV1NTU1SkhIkN1u13XXXacnn3yyy9BVWFio5ORk35GZmelXjWZrnYg8LIWJyAAA+MvvoPO3v/1NF110UYf2KVOm6IUXXghIUaeTmJioLVu26MMPP9QvfvELFRQUaN26dZ2eu3DhQtXU1PiO0tLSkNQYKL4eHZaWAwDgN7+Hro4cOaLk5OQO7UlJSaqurvbrvVJSUmSz2VRRUdGuvaKiQhkZGV1eZ7VaNXLkSElSdna2tm3bpsLCQl122WUdznU4HHI4zt5tE1qDznCGrgAA8JvfPTojR47UmjVrOrT/4x//0PDhw/16L7vdrpycHBUXF/vavF6viouLNXny5G6/j9frbTcPJ1w0erw6cLR5M09uFggAgP/87tEpKCjQnXfeqaqqKl1xxRWSpOLiYj3++OMqKiryu4CCggLNmjVLEyZM0KRJk1RUVCSn06nZs2dLkmbOnKlBgwapsLBQUvOcmwkTJmjEiBFyuVx6/fXX9cc//lFPPfWU35/d2x08dlJNXkOx0TalJ8aYXQ4AAGcdv4PObbfdJpfLpV/84he+5dxZWVl66qmnNHPmTL8LyM/PV1VVlRYtWqTy8nJlZ2drzZo1vgnKBw4ckNXa1vHkdDp1xx136ODBg4qNjdXo0aP1pz/9Sfn5+X5/dm/XOhE5KyVeViubeQIA4K8e3UenVVVVlWJjY5WQcPasCDqb7qPzP+/s0c9f26brLhygZTPGm10OAACm6envt99zdCSpqalJb775pl588UW15qTDhw+rvr6+J2+HLuzhHjoAAJwRv4eu9u/fr2uuuUYHDhyQy+XSVVddpcTERD366KNyuVxavnx5MOqMSHur2LUcAIAz4XePzvz58zVhwgQdO3ZMsbGxvvZvfetb7VZP4czt9t0skKADAEBP+N2j88477+j999+X3W5v156VlaVDhw4FrLBIV3OiUZV1zUvmR6UnmlwNAABnJ797dLxerzweT4f2gwcPKjGRH+RA2VVVJ0kakByjBEePtiQDACDi+R10rr766nb3y7FYLKqvr9fixYt17bXXBrS4SFZS0TxsNTLt7FnRBgBAb+N3V8Hjjz+uqVOnasyYMWpoaNB3v/tdlZSUKCUlRX/+85+DUWNEKqlsDjqj0uglAwCgp/wOOoMHD9Ynn3yi1atX65NPPlF9fb3mzJmjGTNmtJucjDPjCzrp9OgAANBTPZr8ERUVpRkzZmjGjBnt2k+ePEnYCZBdFc1zdEYxdAUAQI/16IaBX+ZyufT4449r2LBhgXi7iFfX0KjDNQ2SmKMDAMCZ6HbQcblcWrhwoSZMmKApU6bo5ZdfliQ9++yzGjZsmIqKirRgwYKgFRpJdrfcKDA10aE+cfbTnA0AALrS7aGrRYsW6emnn1ZeXp7ef/993XjjjZo9e7Y++OADPfHEE7rxxhtls9mCWWvEKGHYCgCAgOh20PnrX/+qP/zhD7rhhhu0detWjR07Vk1NTfrkk09ksbCzdiDt8q24IugAAHAmuj10dfDgQeXk5EiSLrjgAjkcDi1YsICQEwStK65GckdkAADOSLeDjsfjabftQ1RUlBIS6HEIhpJKhq4AAAiEbg9dGYah73//+3I4HJKkhoYG/fCHP1R8fPsNJ1988cXAVhhhTribdPDYSUkEHQAAzlS3g86sWbPaPb/11lsDXgykPVVOGYbUL96u/gkOs8sBAOCs1u2g8+yzzwazDrRoHbbi/jkAAJy5gNwwEIHTupknw1YAAJw5gk4vU8LScgAAAoag08v47qHD0nIAAM4YQacXaWj0aP+R5u0f6NEBAODMEXR6kb3VTnkNKSkmSqmJrLgCAOBMEXR6kZJThq244zQAAGeOoNOL7GIzTwAAAoqg04v49rgi6AAAEBAEnV6khBVXAAAEFEGnl3A3ebWvmhVXAAAEEkGnl9h/xKkmr6F4u00DkmPMLgcAgLBA0OklTp2fw4orAAACg6DTS+xtGbYawbAVAAABQ9DpJfZUNQed4SnxJlcCAED4IOj0Enuqm4euhqXQowMAQKAQdHqJ1qGrYfToAAAQMASdXuCY063jJxolEXQAAAikXhF0li1bpqysLMXExCg3N1cbN27s8tzf/e53uvjii9W3b1/17dtXeXl5X3n+2WBPS2/OwOQYxdptJlcDAED4MD3orF69WgUFBVq8eLE2b96scePGaerUqaqsrOz0/HXr1umWW27Rv/71L23YsEGZmZm6+uqrdejQoRBXHji+YatUenMAAAgk04POE088oblz52r27NkaM2aMli9frri4OK1YsaLT859//nndcccdys7O1ujRo/U///M/8nq9Ki4uDnHlgbOnqnUiMkEHAIBAMjXouN1ubdq0SXl5eb42q9WqvLw8bdiwoVvvceLECTU2Nqpfv36dvu5yuVRbW9vu6G3aJiKz4goAgEAyNehUV1fL4/EoPT29XXt6errKy8u79R733nuvBg4c2C4snaqwsFDJycm+IzMz84zrDrTWoDOcoSsAAALK9KGrM/HII49o1apVeumllxQT0/n+UAsXLlRNTY3vKC0tDXGVX83rNdqCDkNXAAAEVJSZH56SkiKbzaaKiop27RUVFcrIyPjKax977DE98sgjevPNNzV27Nguz3M4HHI4HAGpNxjKahvkavIq2mbRoD6xZpcDAEBYMbVHx263Kycnp91E4taJxZMnT+7yul/96ld6+OGHtWbNGk2YMCEUpQbN3patH4b0i1OU7azuYAMAoNcxtUdHkgoKCjRr1ixNmDBBkyZNUlFRkZxOp2bPni1JmjlzpgYNGqTCwkJJ0qOPPqpFixZp5cqVysrK8s3lSUhIUELC2TeZl60fAAAIHtODTn5+vqqqqrRo0SKVl5crOztba9as8U1QPnDggKzWtp6Op556Sm63W//2b//W7n0WL16sJUuWhLL0gPBt5slEZAAAAs70oCNJd955p+68885OX1u3bl275/v27Qt+QSG0u+UeOkxEBgAg8JgUYrKSiuagMyo90eRKAAAIPwQdE9U2NKq8tkGSNDKNOToAAAQaQcdEuyube3PSkxxKjo02uRoAAMIPQcdEJS1BZ1Qaw1YAAAQDQcdEu1qCDsNWAAAEB0HHRCUVdZKkUekEHQAAgoGgYyKGrgAACC6CjklOuJt08NhJSdIohq4AAAgKgo5Jdlc23xE5JcGuvvF2k6sBACA8EXRMUlLZPD+HicgAAAQPQcckzM8BACD4CDomadv6gR4dAACChaBjkl0MXQEAEHQEHRM0NHp04OgJSQxdAQAQTAQdE+ypcsprSH3iopWSwIorAACChaBjgtYVV6PSEmSxWEyuBgCA8EXQMUHbHlcMWwEAEEwEHRP4VlwxERkAgKAi6JjAN3TF0nIAAIKKoBNi7iav9h1pXnF1TjpDVwAABBNBJ8T2HXHK4zWUGBOltESH2eUAABDWCDohdur8HFZcAQAQXASdEGtbWs6wFQAAwUbQCTHfZp5MRAYAIOgIOiG2q6L1HjoEHQAAgo2gE0JNHq/2VLf26DB0BQBAsBF0Qmj/0RNq9BiKs9s0MDnG7HIAAAh7BJ0Q2lvllCQNT41nxRUAACFA0Amh1mGrYSnMzwEAIBQIOiG0t7q5R2dYSrzJlQAAEBkIOiG0p3XoiqADAEBIEHRCiB4dAABCi6ATIvWuJlXWuSRJw1IJOgAAhAJBJ0RaV1ylJDiUFBNtcjUAAEQG04POsmXLlJWVpZiYGOXm5mrjxo1dnvv555/rO9/5jrKysmSxWFRUVBTCSs9M64or5ucAABA6pgad1atXq6CgQIsXL9bmzZs1btw4TZ06VZWVlZ2ef+LECQ0fPlyPPPKIMjIyQlztmWF+DgAAoWdq0HniiSc0d+5czZ49W2PGjNHy5csVFxenFStWdHr+xIkT9etf/1o333yzHA5HiKs9M76gw/wcAABCxrSg43a7tWnTJuXl5bUVY7UqLy9PGzZsCNjnuFwu1dbWtjvMwNJyAABCz7SgU11dLY/Ho/T09Hbt6enpKi8vD9jnFBYWKjk52XdkZmYG7L27yzAMX4/OcHp0AAAIGdMnIwfbwoULVVNT4ztKS0tDXkNVvUv1riZZLVJmv7iQfz4AAJEqyqwPTklJkc1mU0VFRbv2ioqKgE40djgcps/naV1aPrhvnBxRNlNrAQAgkpjWo2O325WTk6Pi4mJfm9frVXFxsSZPnmxWWUGxp2XYKov5OQAAhJRpPTqSVFBQoFmzZmnChAmaNGmSioqK5HQ6NXv2bEnSzJkzNWjQIBUWFkpqnsD8xRdf+B4fOnRIW7ZsUUJCgkaOHGna33E6uyqb76EzKo1dywEACCVTg05+fr6qqqq0aNEilZeXKzs7W2vWrPFNUD5w4ICs1rZOp8OHD+trX/ua7/ljjz2mxx57TJdeeqnWrVsX6vK7rYSgAwCAKSyGYRhmFxFKtbW1Sk5OVk1NjZKSkkLymVMKi3W4pkF/u32ycob2C8lnAgAQTnr6+x32q67MVtfQqMM1DZKkkamJJlcDAEBkIegE2e6WFVepiQ4lx7GZJwAAoUTQCbKSijpJzM8BAMAMBJ0gY8UVAADmIegEWeuKq5HpzM8BACDUCDpBVlLJ0BUAAGYh6ATRSbdHB4+dlETQAQDADASdINpdVS/DkPrF29U/wdz9tgAAiEQEnSBqnYg8kt4cAABMQdAJIubnAABgLoJOEJVU0KMDAICZCDpB1HYPHZaWAwBgBoJOkLibvNp/9IQkenQAADALQSdI9h1xyuM1lOCIUnoSK64AADADQSdIWoetRqQlyGKxmFwNAACRiaATJL6l5akMWwEAYBaCTpBwDx0AAMxH0AkSgg4AAOYj6ASB12toTzVBBwAAsxF0guDQ8ZNqaPTKbrMqs2+s2eUAABCxCDpB0DpsNSwlXlE2vmIAAMzCr3AQMD8HAIDegaATBL576KTGm1wJAACRjaATBLuq2m4WCAAAzEPQCTDDMBi6AgCglyDoBFh1vVs1JxtlsUgjuCsyAACmIugE2O6WYavBfWMVE20zuRoAACIbQSfA2OMKAIDeg6ATYMzPAQCg9yDoBFjr0BVBBwAA8xF0AoweHQAAeg+CTgDVu5pUVtMgSRqZmmhyNQAAgKATQLtbenNSEhxKjos2uRoAAEDQCaC2YSu2fgAAoDcg6ATQLiYiAwDQq/SKoLNs2TJlZWUpJiZGubm52rhx41ee/9e//lWjR49WTEyMLrzwQr3++ushqvSrcQ8dAAB6F9ODzurVq1VQUKDFixdr8+bNGjdunKZOnarKyspOz3///fd1yy23aM6cOfr44481ffp0TZ8+XVu3bg1x5R3t9g1dMREZAIDewGIYhmFmAbm5uZo4caKWLl0qSfJ6vcrMzNRdd92l++67r8P5+fn5cjqdevXVV31tX//615Wdna3ly5ef9vNqa2uVnJysmpoaJSUlBezvcDd5dd6iNfJ4DX2w8EplJMcE7L0BAIh0Pf39NrVHx+12a9OmTcrLy/O1Wa1W5eXlacOGDZ1es2HDhnbnS9LUqVO7PN/lcqm2trbdEQz7jjjl8RpKcEQpPckRlM8AAAD+MTXoVFdXy+PxKD09vV17enq6ysvLO72mvLzcr/MLCwuVnJzsOzIzMwNT/JdU17vUJy5aI9ISZLFYgvIZAADAP6bP0Qm2hQsXqqamxneUlpYG5XOmjEjRxw9cpT/PzQ3K+wMAAP9FmfnhKSkpstlsqqioaNdeUVGhjIyMTq/JyMjw63yHwyGHIzRDSRaLRXF2U79SAABwClN7dOx2u3JyclRcXOxr83q9Ki4u1uTJkzu9ZvLkye3Ol6Q33nijy/MBAEDkMr37oaCgQLNmzdKECRM0adIkFRUVyel0avbs2ZKkmTNnatCgQSosLJQkzZ8/X5deeqkef/xxXXfddVq1apU++ugj/fa3vzXzzwAAAL2Q6UEnPz9fVVVVWrRokcrLy5Wdna01a9b4JhwfOHBAVmtbx9OUKVO0cuVK/exnP9N//Md/aNSoUXr55Zd1wQUXmPUnAACAXsr0++iEWrDuowMAAILnrLyPDgAAQDARdAAAQNgi6AAAgLBF0AEAAGGLoAMAAMIWQQcAAIQtgg4AAAhbBB0AABC2CDoAACBsmb4FRKi13gi6trbW5EoAAEB3tf5u+7uhQ8QFnbq6OklSZmamyZUAAAB/1dXVKTk5udvnR9xeV16vV4cPH1ZiYqIsFktA37u2tlaZmZkqLS1lH60g4nsODb7n0OB7Dh2+69AI1vdsGIbq6uo0cODAdpt9n07E9ehYrVYNHjw4qJ+RlJTEf4lCgO85NPieQ4PvOXT4rkMjGN+zPz05rZiMDAAAwhZBBwAAhC3bkiVLlphdRDix2Wy67LLLFBUVcaOCIcX3HBp8z6HB9xw6fNeh0Zu+54ibjAwAACIHQ1cAACBsEXQAAEDYIugAAICwRdABAABhi6ATIMuWLVNWVpZiYmKUm5urjRs3ml1S2Hn77bd1/fXXa+DAgbJYLHr55ZfNLiksFRYWauLEiUpMTFRaWpqmT5+uHTt2mF1W2Hnqqac0duxY303VJk+erH/84x9mlxX2HnnkEVksFt1zzz1mlxJWlixZIovF0u4YPXq02WVJIugExOrVq1VQUKDFixdr8+bNGjdunKZOnarKykqzSwsrTqdT48aN07Jly8wuJaytX79e8+bN0wcffKA33nhDjY2Nuvrqq+V0Os0uLawMHjxYjzzyiDZt2qSPPvpIV1xxhaZNm6bPP//c7NLC1ocffqinn35aY8eONbuUsHT++eerrKzMd7z77rtmlySJ5eUBkZubq4kTJ2rp0qWSmvfTyszM1F133aX77rvP5OrCk8Vi0UsvvaTp06ebXUrYq6qqUlpamtavX69LLrnE7HLCWr9+/fTrX/9ac+bMMbuUsFNfX6/x48frv//7v/Xzn/9c2dnZKioqMrussLFkyRK9/PLL2rJli9mldECPzhlyu93atGmT8vLyfG1Wq1V5eXnasGGDiZUBgVFTUyOp+UcYweHxeLRq1So5nU5NnjzZ7HLC0rx583Tddde1+99qBFZJSYkGDhyo4cOHa8aMGTpw4IDZJUmKwE09A626uloej0fp6ent2tPT07V9+3aTqgICw+v16p577tFFF12kCy64wOxyws5nn32myZMnq6GhQQkJCXrppZc0ZswYs8sKO6tWrdLmzZv14Ycfml1K2MrNzdVzzz2nc889V2VlZXrwwQd18cUXa+vWrUpMTDS1NoIOgC7NmzdPW7du7TVj7eHm3HPP1ZYtW1RTU6MXXnhBs2bN0vr16wk7AVRaWqr58+frjTfeUExMjNnlhK1vfvObvsdjx45Vbm6uhg4dqr/85S+mD8USdM5QSkqKbDabKioq2rVXVFQoIyPDpKqAM3fnnXfq1Vdf1dtvv63BgwebXU5YstvtGjlypCQpJydHH374oX7zm9/o6aefNrmy8LFp0yZVVlZq/PjxvjaPx6O3335bS5culcvlks1mM7HC8NSnTx+dc8452rVrl9mlMEfnTNntduXk5Ki4uNjX5vV6VVxczFg7zkqGYejOO+/USy+9pLfeekvDhg0zu6SI4fV65XK5zC4jrFx55ZX67LPPtGXLFt8xYcIEzZgxQ1u2bCHkBEl9fb12796tAQMGmF0KPTqBUFBQoFmzZmnChAmaNGmSioqK5HQ6NXv2bLNLCyv19fXt/r+DvXv3asuWLerXr5+GDBliYmXhZd68eVq5cqVeeeUVJSYmqry8XJKUnJys2NhYk6sLHwsXLtQ3v/lNDRkyRHV1dVq5cqXWrVuntWvXml1aWElMTOwwvyw+Pl79+/dn3lkA/fjHP9b111+voUOH6vDhw1q8eLFsNptuueUWs0sj6ARCfn6+qqqqtGjRIpWXlys7O1tr1qzpMEEZZ+ajjz7S5Zdf7nteUFAgSZo1a5aee+45k6oKP0899ZQk6bLLLmvX/uyzz+r73/9+6AsKU5WVlZo5c6bKysqUnJyssWPHau3atbrqqqvMLg3w28GDB3XLLbfoyJEjSk1N1Te+8Q198MEHSk1NNbs07qMDAADCF3N0AABA2CLoAACAsEXQAQAAYYugAwAAwhZBBwAAhC2CDgAACFsEHQAAELYIOgAAIGwRdACElSVLlig7O9vsMjq1ZMkSWSwWWSwWFRUVfeW5ref16dMnRNUB4YmgA0S473//+74f1dbdtB966CE1NTWZXVpYOv/881VWVqYf/OAHX3leWVnZacMQgNNjrysAuuaaa/Tss8/K5XLp9ddf17x58xQdHa2FCxf26P3cbrfsdnuAqwwPUVFRysjIOO15GRkZSk5ODkFFQHijRweAHA6HMjIyNHToUN1+++3Ky8vT3//+d9/rf/vb33T++efL4XAoKytLjz/+eLvrs7Ky9PDDD2vmzJlKSkry9VaUlpbqpptuUp8+fdSvXz9NmzZN+/bt67QGr9erwYMH+zYVbfXxxx/LarVq//79kqQDBw5o2rRpSkhIUFJSkm666SZVVFR0+bdddtlluueee9q1TZ8+vd0GpVlZWfr5z3+umTNnKiEhQUOHDtXf//53VVVV+T5r7Nix+uijj9q9z7vvvquLL75YsbGxyszM1N133y2n09llLQBCj6ADoIPY2Fi53W5J0qZNm3TTTTfp5ptv1meffaYlS5bogQce6LBj/GOPPaZx48bp448/1gMPPKDGxkZNnTpViYmJeuedd/Tee+8pISFB11xzje+9T2W1WnXLLbdo5cqV7dqff/55XXTRRRo6dKi8Xq+mTZumo0ePav369XrjjTe0Z88e5efnn/Hf/J//+Z+66KKL9PHHH+u6667T9773Pc2cOVO33nqrNm/erBEjRmjmzJlq3Qd59+7duuaaa/Sd73xHn376qVavXq13331Xd9555xnXAiCADAARbdasWca0adMMwzAMr9drvPHGG4bD4TB+/OMfG4ZhGN/97neNq666qt01P/nJT4wxY8b4ng8dOtSYPn16u3P++Mc/Gueee67h9Xp9bS6Xy4iNjTXWrl3baS0ff/yxYbFYjP379xuGYRgej8cYNGiQ8dRTTxmGYRj//Oc/DZvNZhw4cMB3zeeff25IMjZu3GgYhmEsXrzYGDdunO/1Sy+91Jg/f367zwEdEfQAAAQcSURBVJk2bZoxa9asdvXfeuutvudlZWWGJOOBBx7wtW3YsMGQZJSVlRmGYRhz5swxfvCDH7R733feecewWq3GyZMnO/37vlzb6Tz77LNGcnJyt88H0BE9OgD06quvKiEhQTExMfrmN7+p/Px8LVmyRJK0bds2XXTRRe3Ov+iii1RSUiKPx+NrmzBhQrtzPvnkE+3atUuJiYlKSEhQQkKC+vXrp4aGBu3evbvTOrKzs3Xeeef5enXWr1+vyspK3Xjjjb5aMjMzlZmZ6btmzJgx6tOnj7Zt23ZG38HYsWN9j9PT0yVJF154YYe2yspK39/33HPP+f62hIQETZ06VV6vV3v37u325/7whz9s9x4AAovJyAB0+eWX66mnnpLdbtfAgQMVFeX//zTEx8e3e15fX6+cnBw9//zzHc5NTU3t8n1mzJihlStX6r777tPKlSt1zTXXqH///n7X08pqtfqGm1o1NjZ2OC86Otr32GKxdNnm9XolNf99/+///T/dfffdHd5ryJAh3a7voYce0o9//ONunw/APwQdAIqPj9fIkSM7fe28887Te++9167tvffe0znnnCObzdble44fP16rV69WWlqakpKSul3Ld7/7Xf3sZz/Tpk2b9MILL2j58uXtaiktLVVpaamvV+eLL77Q8ePHNWbMmE7fLzU1VWVlZb7nHo9HW7du1eWXX97tmjozfvx4ffHFF11+b92VlpamtLS0M3oPAF1j6ArAV/rRj36k4uJiPfzww9q5c6d+//vfa+nSpafthZgxY4ZSUlI0bdo0vfPOO9q7d6/WrVunu+++WwcPHuzyuqysLE2ZMkVz5syRx+PRDTfc4HstLy9PF154oWbMmKHNmzdr48aNmjlzpi699NIOQ2etrrjiCr322mt67bXXtH37dt1+++06fvx4z76MU9x77716//33deedd2rLli0qKSnRK6+8wmRkoJch6AD4SuPHj9df/vIXrVq1ShdccIEWLVqkhx56qN3y7M7ExcXp7bff1pAhQ/Ttb39b5513nubMmaOGhobT9vDMmDFDn3zyib71rW8pNjbW126xWPTKK6+ob9++uuSSS5SXl6fhw4dr9erVXb7XbbfdplmzZvkC0fDhw8+4N0dqntOzfv167dz5/9u7Y9sIYSgAwy+i9QR0jMAA7EPJBIgpqBmBUZDoImbwCndFuhSnSLlQvHxfbVkufz1b8mcMwxB938c8z9G27a/3Bt7n4/H98hqAP7EsS+z7Hsdx/Gj9tm0xTdNbJlDwX5noANzoPM8opcS6ri/XlVJiHMebTgV5megA3KTWGrXWiPh6JP3qi4fruiIiomma6LrulvNBRkIHAEjL1RUAkJbQAQDSEjoAQFpCBwBIS+gAAGkJHQAgLaEDAKQldACAtJ714hQLPBo8JQAAAABJRU5ErkJggg==",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f160f3a1450>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the problem\n",
    "# relative permeabilities\n",
    "rel_perms = FF.oil_water_rel_perms(krw0=0.4, kro0=0.9, \n",
    "    swc=0.15, sor=0.2, nw=2.0, no = 2.0)\n",
    "# FF.visualize(rel_perms)\n",
    "# define the fluids\n",
    "fluids = FF.oil_water_fluids(mu_water=1e-3, mu_oil=1e-3)\n",
    "\n",
    "# define the fractional flow functions\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "# visualize the fractional flow\n",
    "# FF.visualize(rel_perms, fluids, label=\"lowsal\")\n",
    "# tight_layout()\n",
    "core_flood = FF.core_flooding(u_inj=1.15e-5, pv_inject=5, \n",
    "    p_back=1e5, sw_init=0.2, sw_inj=1.0, rel_perms=rel_perms)\n",
    "core_props = FF.core_properties()\n",
    "wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "fw, dfw = FF.fractional_flow_function(rel_perms, fluids)\n",
    "sw_tmp = linspace(0,1,100)\n",
    "\n",
    "FF.visualize(wf_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# t_sec, pv, rec_fact, dp_core, x, sw, c, c_out_sal=\n",
    "#             FF.water_flood_numeric(core_props, fluids, rel_perms, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# figure()\n",
    "# plot(t_sec, rec_fact, \"o\", wf_res.recovery_time[:,1], wf_res.recovery_time[:,2])\n",
    "# figure()\n",
    "# plot(t_sec, dp_core, \"o\", wf_res.dp_time[:,1], wf_res.dp_time[:,2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# synthetic experimental data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(PyPlot.Figure(PyObject <Figure size 800x500 with 2 Axes>), PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f160ea2db50>, PyObject <matplotlib.axes._subplots.AxesSubplot object at 0x7f160e95de50>)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t_exp_dp = wf_res.dp_time[:,1]\n",
    "dp_exp = wf_res.dp_time[:,2]\n",
    "t_exp_R = wf_res.recovery_time[:,1]\n",
    "R_exp = wf_res.recovery_time[:,2]\n",
    "plotyy(t_exp_R, R_exp, t_exp_dp, dp_exp, fig_size = [8,5], x_label=\"time [s]\", y1_label=\"R [-]\", y2_label=\"dP [Pa]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "exp_data(Real[0.0, 98.3177, 196.635, 294.953, 393.271, 491.588, 589.906, 688.224, 786.541, 884.859  …  18680.4, 18778.7, 18877.0, 18975.3, 19073.6, 19171.9, 19270.3, 19368.6, 19466.9, 19565.2], Real[2242.5, 2382.13, 2512.99, 2643.84, 2792.52, 2923.33, 3054.15, 3202.83, 3333.64, 3464.46  …  4436.68, 4436.06, 4435.44, 4434.84, 4434.23, 4433.64, 4433.05, 4432.46, 4431.88, 4431.31], Real[0.0, 98.3177, 196.635, 294.953, 393.271, 491.588, 589.906, 688.224, 786.541, 884.859  …  18680.4, 18778.7, 18877.0, 18975.3, 19073.6, 19171.9, 19270.3, 19368.6, 19466.9, 19565.2], Real[0.0, 0.0319038, 0.0622777, 0.092653, 0.126059, 0.156438, 0.186816, 0.220222, 0.250601, 0.28098  …  0.738372, 0.73843, 0.738487, 0.738544, 0.7386, 0.738655, 0.73871, 0.738765, 0.738819, 0.738872])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# struct\n",
    "struct exp_data\n",
    "    t_exp_dp\n",
    "    dp_exp\n",
    "    t_exp_R\n",
    "    R_exp\n",
    "end\n",
    "exp_data1 = exp_data(t_exp_dp, dp_exp, t_exp_R, R_exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "4.5764245794858045"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\"\n",
    "rel_perm_param [krw0, kro0, nw, no, swc, sor]\n",
    "\"\"\"\n",
    "function error_calc(rel_perm_param, exp_data, core_props, fluids, core_flood; w_p=1.0, w_R=1.0)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    dp_calc = Spline1D(wf_res.dp_time[:,1], wf_res.dp_time[:,2], k=1, bc=\"nearest\")\n",
    "    R_calc = Spline1D(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], k=1, bc=\"nearest\")\n",
    "    error_dp = abs.(dp_calc(exp_data.t_exp_dp) .- exp_data.dp_exp)\n",
    "#     println(error_dp)\n",
    "    error_R = abs.(R_calc(exp_data.t_exp_R) .- exp_data.R_exp)\n",
    "#     println(error_R)\n",
    "    error_dp_norm = w_p.*error_dp./exp_data.dp_exp\n",
    "    error_R_norm = w_R.*error_R./(exp_data.R_exp+eps())\n",
    "    return mean(error_R_norm)+mean(error_dp_norm)\n",
    "end\n",
    "\n",
    "function vis_error(rel_perm_param, exp_data, core_props, fluids, core_flood)\n",
    "    rel_perms = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "    wf_res = FF.water_flood(core_props, fluids, rel_perms, core_flood)\n",
    "    figure()\n",
    "    plot(wf_res.dp_time[:,1], wf_res.dp_time[:,2],  exp_data.t_exp_dp, exp_data.dp_exp, \"o\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"dp [Pa]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "    figure()\n",
    "    plot(wf_res.recovery_time[:,1], wf_res.recovery_time[:,2], exp_data.t_exp_R, exp_data.R_exp, \"v\")\n",
    "    xlabel(\"t [s]\")\n",
    "    ylabel(\"R [-]\")\n",
    "    legend([\"Theoretical\", \"Experiment\"])\n",
    "    \n",
    "end\n",
    "\n",
    "# test\n",
    "x_init = [0.109681, 0.201297, 3.96653, 3.0, 0.19, 0.262231]\n",
    "\n",
    "vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# define the objective function and gradients and weight factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7313682251349136"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# weight factors:\n",
    "w_p = ones(length(exp_data1.dp_exp))\n",
    "ind_max = indmax(exp_data1.dp_exp)\n",
    "w_p[ind_max-1:ind_max+2] = 10\n",
    "w_p[end:end-5]=10\n",
    "w_p[1]=10\n",
    "w_R = ones(length(exp_data1.R_exp))\n",
    "w_R[20:25] = 10\n",
    "w_R[end:end-5]=10\n",
    "\n",
    "\n",
    "function f(x)\n",
    "    f_val = 0.0\n",
    "    try\n",
    "        f_val = error_calc(x, exp_data1, core_props, fluids, core_flood, w_p = w_p, w_R = w_R)\n",
    "    catch\n",
    "        f_val = 100.0\n",
    "#         info(\"Objective function did not converge!\")\n",
    "    end\n",
    "    return f_val\n",
    "end\n",
    "\n",
    "    \n",
    "function g(x)\n",
    "    eps1 = 1e-4\n",
    "    f_val = f(x)\n",
    "    g_val = ones(length(x))\n",
    "    try\n",
    "        # g_val = Calculus.gradient(x -> error_calc(x, exp_data1, core_props, fluids, core_flood), x)\n",
    "        for j in eachindex(x)\n",
    "            x2 = copy(x)\n",
    "            x2[j]+=eps1\n",
    "            f_val2 = f(x2)\n",
    "            g_val[j] = (f_val2-f_val)/eps1\n",
    "        end\n",
    "    catch\n",
    "        g_val = ones(length(x))\n",
    "    end\n",
    "    return g_val\n",
    "end\n",
    "\n",
    "function obj_fun(param, grad)\n",
    "    if length(grad)>0\n",
    "      grad[:] = g(param)\n",
    "    end\n",
    "    \n",
    "    obj_fun_val = f(param)\n",
    "    if isnan(obj_fun_val) || isinf(obj_fun_val)\n",
    "        obj_fun_val = 100.0\n",
    "    end\n",
    "    return obj_fun_val\n",
    "end\n",
    "\n",
    "# test\n",
    "grad_x = zeros(6)\n",
    "obj_fun([1.0, 0.8, 3, 4, 0.2, 0.2], grad_x)\n",
    "\n",
    "f([1.0, 0.8, 2, 2, 0.1, 0.2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6-element Array{Float64,1}:\n",
       " 285.858      \n",
       " 285.489      \n",
       " 285.478      \n",
       "  -0.000124841\n",
       "  -0.541958   \n",
       " 286.999      "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grad_x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "## algorithms\n",
    "# L: Local, G:global\n",
    "# D: derivative-based, N: non-derivative (search-based)\n",
    "\n",
    "# :LD_MMA\n",
    "# :LN_COBYLA\n",
    "# :LD_LBFGS\n",
    "# :GN_DIRECT\n",
    "# :GN_DIRECT_L\n",
    "# GN_CRS2_LM\n",
    "# G_MLSL_LDS\n",
    "# GD_STOGO\n",
    "# GN_ISRES\n",
    "# GN_ESCH\n",
    "# LN_NEWUOA_BOUND\n",
    "# LN_BOBYQA\n",
    "# LN_PRAXIS\n",
    "# LN_NELDERMEAD\n",
    "# LN_SBPLX\n",
    "# LD_SLSQP\n",
    "# LD_TNEWTON_PRECOND_RESTART\n",
    "# LD_TNEWTON_RESTART\n",
    "# LD_TNEWTON_PRECOND\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.04651698487816377, [0.435141, 0.994858, 2.61269, 2.33365, 0.166793, 0.182849], :FTOL_REACHED)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = [0.9, 0.8, 2.5, 2.5, 0.1, 0.1]\n",
    "x_lb = [0.1, 0.1, 1.5, 1.5, 0.05, 0.1]\n",
    "x_ub = [1.0, 1.0, 4.0, 4.0, core_flood.initial_water_saturation, 0.25]\n",
    "opt_alg=:GN_DIRECT_L\n",
    "opt1 = Opt(opt_alg, length(x_init)) # choose the algorithm\n",
    "lower_bounds!(opt1, x_lb)\n",
    "upper_bounds!(opt1, x_ub)\n",
    "ftol_rel!(opt1, 1e-15)\n",
    "ftol_abs!(opt1, 1e-15)\n",
    "\n",
    "min_objective!(opt1, obj_fun)\n",
    "(fObjOpt, paramOpt, flag) = optimize(opt1, x_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk0AAAG0CAYAAAAvjxMUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XlclOX+//HXMDDAAMO+KhLuorh2MiyXTh7R0E5leSoTl6w0K5dM8vysXFLLvqZtZidPaic7ZuUpU9PQxEoxzSVNyhIxKFZFGPZlZn5/jIyMoszAwIDzeT4e88C574t7rlF03l7XdV8fhcFgMCCEEEIIIa7Jyd4dEEIIIYRoDSQ0CSGEEEJYQEKTEEIIIYQFJDQJIYQQQlhAQpMQQgghhAUkNAkhhBBCWEBCkxBCCCGEBSQ0CSGEEEJYQEKTEEIIIYQFJDQJIYQQQlhAQpMQQgghhAWc7d2B1kCv15OZmYmXlxcKhcLe3RFCCCGEBQwGA0VFRYSFheHk1PhxIglNFsjMzCQ8PNze3RBCCCFEA2RkZNC2bdtGX0dCkwW8vLwA42+6RqOxc2+EEEIIYQmtVkt4eLjpc7yxJDRZoGZKTqPRSGgSQgghWhlbLa2RheBCCCGEEBaQ0CSEEEIIYQEJTUIIIYQQFpA1TUIIIVo9nU5HVVWVvbsh7EClUtlkOwFLSGgSQgjRahkMBrKzsykoKLB3V4SdODk5ERkZiUqlavLXktAkhBCi1aoJTEFBQajVatmA2MHUbD6dlZVFu3btmvzPX0KTEEKIVkmn05kCk7+/v727I+wkMDCQzMxMqqurcXFxadLXkoXgQgghWqWaNUxqtdrOPRH2VDMtp9Ppmvy1JDQJIYRo1WRKzrE155+/hCYhhBBCCAvYNTTNnz8fhUJh9ujatavp/JAhQ644P2XKFLNrpKenExcXh1qtJigoiGeeeYbq6mqzNklJSfTt2xdXV1c6duzIunXrmuPtCSGEEA2SlJSEQqFodXcFDhkyhBkzZtjsehMmTOCuu+6y2fUay+4Lwbt3786uXbtMz52dzbv0yCOPsHDhQtPz2nPXOp2OuLg4QkJC2L9/P1lZWcTHx+Pi4sKSJUsASEtLIy4ujilTprBhwwZ2797N5MmTCQ0NJTY2tonfnRBCCGGuvumkF154gSFDhjRPZxooKSmJ2267jQsXLuDj42M6vnnz5iZfjG1Pdg9Nzs7OhISEXPW8Wq2+6vmvvvqKlJQUdu3aRXBwML1792bRokUkJCQwf/58VCoVq1evJjIykuXLlwPQrVs3vvvuO1asWCGhyYZKKqpxd1Hi5CRrC4QQ4lqysrJMv/7oo494/vnnOXXqlOmYp6cnP/zwgz26RmVlZaP2O/Lz87Nhb1oeu69p+u233wgLC6N9+/aMHTuW9PR0s/MbNmwgICCAHj16MHfuXEpLS03nkpOTiY6OJjg42HQsNjYWrVbLyZMnTW2GDh1qds3Y2FiSk5Ov2qeKigq0Wq3ZQ1zdnl9y6b3wK17YctLeXRFCiBYvJCTE9PD29kahUJgd8/T0NLU9fPgwN954I2q1mgEDBpiFK4DPP/+cvn374ubmRvv27VmwYIHZEpX09HT+/ve/4+npiUajYcyYMeTk5JjOz58/n969e7NmzRoiIyNxc3MDjPsfLV26lMjISNzd3enVqxeffPIJAGfPnuW2224DwNfXF4VCwYQJE4Arp+cqKipISEggPDzctETm3//+N2CcLXr44YdNr9GlSxdee+01G/5O255dR5r69+/PunXr6NKlC1lZWSxYsICBAwfy008/4eXlxYMPPkhERARhYWEcP36chIQETp06xebNmwHjpma1AxNgep6dnX3NNlqtlrKyMtzd3a/o19KlS1mwYEFTvOXrTn5JJc98cpwqnYH/HPid+25sS8+2PvV/oxBCNAGDwUBZVdPfen45dxdlk9zF9f/+3/9j+fLlBAYGMmXKFCZNmsS+ffsA+Pbbb4mPj+f1119n4MCBpKam8uijjwLGKT69Xm8KTHv37qW6uppp06bxj3/8g6SkJNNrnD59mk8//ZTNmzejVCoB4+fgBx98wOrVq+nUqRPffPMNDz30EIGBgdx66618+umnjB49mlOnTqHRaOr8LAWIj48nOTmZ119/nV69epGWlsa5c+cAYzBr27YtH3/8Mf7+/uzfv59HH32U0NBQxowZY/PfS1uwa2gaMWKE6dc9e/akf//+REREsGnTJh5++GHTHz5AdHQ0oaGh3H777aSmptKhQ4cm69fcuXOZNWuW6blWqyU8PLzJXq+1MhgMzPvsBOeKK0zHFm1NYdNjMXILsBDCLsqqdEQ9v7PZXzdlYSxqle0/UhcvXszgwYMBePbZZ4mLi6O8vBw3NzcWLFjAs88+y/jx4wFo3749ixYtYs6cObzwwgvs3r2bEydOkJaWZvoMe//99+nevTuHDh3iL3/5C2Ccknv//fcJDAwEjKNDS5YsYdeuXcTExJiu/d133/HOO+8wePBg0zRcUFCQ2Zqm2n799Vc2bdpEYmKiacanffv2pvMuLi5mAxSRkZEkJyezadMmCU2W8PHxoXPnzpw+fbrO8/379weMqbhDhw6EhIRw8OBBszY1w44166BCQkLMhiJr2lwrGbu6uuLq6tqo9+IItp/IZvuJbJydFKx+qB9P/PcIh85eYPuJbOJ6htq7e0II0er17NnT9OvQUOO/q7m5ubRr144ff/yRffv2sXjxYlMbnU5HeXk5paWl/Pzzz4SHh5v9pz8qKgofHx9+/vlnU2iKiIgwBSYwfsaWlpbyt7/9zawvlZWV9OnTx+K+Hzt2DKVSaQp9dXnrrbd47733SE9Pp6ysjMrKSnr37m3xazS3FhWaiouLSU1NZdy4cXWeP3bsGHDpBycmJobFixeTm5tLUFAQAImJiWg0GqKiokxttm/fbnadxMREU3oWDffZsT8BmDywPUOjgnlsUAde2/0bS7/8mdu7BeHmorRzD4UQjsbdRUnKwua/yce9if69q30nWs0Ivl6vB4yfmQsWLOCee+654vtq1iZZwsPDw+x5cXExANu2baNNmzZm56wZULjawESNjRs3Mnv2bJYvX05MTAxeXl688sorfP/99xa/RnOza2iaPXs2o0aNIiIigszMTF544QWUSiUPPPAAqampfPjhh9xxxx34+/tz/PhxZs6cyaBBg0zJe9iwYURFRTFu3DiWLVtGdnY28+bNY9q0aaY/2ClTpvDmm28yZ84cJk2axNdff82mTZvYtm2bPd/6deFMnvEv1i0djTWfHhvcnk0/ZPDHhTJW7TnNrGFd7Nk9IYQDUigUTTJN1hL17duXU6dO0bFjxzrPd+vWjYyMDDIyMkyjTSkpKRQUFJgGFuoSFRWFq6sr6enpVx0lsqR0SXR0NHq9nr17915xQxbAvn37GDBgAI8//rjpWGpq6lWv1xLY9e65P/74gwceeIAuXbowZswY/P39OXDgAIGBgahUKnbt2sWwYcPo2rUrTz/9NKNHj+aLL74wfb9SqWTr1q0olUpiYmJ46KGHiI+PN9vXKTIykm3btpGYmEivXr1Yvnw5a9aske0GGqlapyc933gnY2SA8X8papUzz480/kVcvfcMaedK7NY/IYS43j3//PO8//77LFiwgJMnT/Lzzz+zceNG5s2bB8DQoUOJjo5m7NixHDlyhIMHDxIfH8/gwYO58cYbr3pdLy8vZs+ezcyZM1m/fj2pqakcOXKEN954g/Xr1wPGKT2FQsHWrVvJy8szjU7VdsMNNzB+/HgmTZrEZ599RlpaGklJSWzatAmATp068cMPP7Bz505+/fVXnnvuOQ4dOtQEv1O2Y9c4vnHjxqueCw8PZ+/evfVeIyIi4orpt8sNGTKEo0ePWt0/cXV/FpRRpTOgcnYizPvSEOzwHiEM6hzIN7/m8cKWk6yf+BdZFC6EEE0gNjaWrVu3snDhQl5++WVcXFzo2rUrkydPBoyjbp9//jlPPvkkgwYNwsnJieHDh/PGG2/Ue+1FixYRGBjI0qVLOXPmDD4+PvTt25d//vOfALRp08a0EH3ixInEx8fXWW3j7bff5p///CePP/4458+fp127dqZrPPbYYxw9epR//OMfKBQKHnjgAR5//HG+/PJL2/0m2ZjCYDAY7N2Jlk6r1eLt7U1hYSEajcbe3WkR9pzKZeLaQ3QJ9mLnzEFm59LOlRC74hsqdXreeKAPo3qF2amXQojrWXl5OWlpaWb7CwnHc62fA1t/ftt9c0vROqXlGafe2gd6XHEuMsCDx28zbgkxf8tJLpRUNmvfhBBCiKYgoUk0yJlzxvnrmvVMl3t8SEc6B3tyvqSSRVtTmrNrQgghRJOQ0CQapGaR99VCk8rZiZdH90ShgM1H/2TPqdzm7J4QQghhcxKaRINca3quRp92vky6JRKAOZ8c53ytncOFEEKI1kZCk7BaWaWOzMJyACIDPK/Z9pnYLnQK8iSvqIJnN59A7jsQQgjRWkloElY7e944yuSjdsHPQ3XNtm4uSlbe3xsXpYLElBw2Hspoji4KIYQQNiehSVjtTN611zNdrnuYN8/EGncHX/hFimkncSGEEKI1kdAkrJZWz51zdZl8a3sGdPCnrErHjI+OUaXTN1X3hBBCiCYhoUlY7czFO+faWxGanJwULB/TC293F47/UcjKXb82VfeEEEKIJiGhSVitZruB9oHXXgR+uVBvd5bcHQ3AqqRU2YZACCFaoAkTJnDXXXfZuxstkoQmYRWDwWD1mqba4nqG8mD/dhgMMP2/R/n9vBT1FUK0AHodpH0LJz4xftXrmvTlJkyYgEKhuOIxfPjwJn1dS7z22mt11pGzB4VCwWeffWbvbpjYtWCvaH0ulFZRWFYFwA3+1ocmgBdGRfFzlpaj6QU89p/DbH58AGqV/CgKIewkZQvsSABt5qVjmjAY/jJE3dlkLzt8+HDWrl1rdszV1bXJXq8+Op0OhUKBt7e33frQ0slIk7BKzSLwMG833FXKBl3D1VnJ22P7EeDpyi/ZRSR8Kvs3CSHsJGULbIo3D0wA2izj8ZQtTfbSrq6uhISEmD18fX1JSkpCpVLx7bffmtouW7aMoKAgcnJyABgyZAhPPPEETzzxBN7e3gQEBPDcc8+Z/VtaUVHB7NmzadOmDR4eHvTv35+kpCTT+XXr1uHj48OWLVuIiorC1dWV9PT0K6bnhgwZwpNPPsmMGTPw9fUlODiYd999l5KSEiZOnIiXlxcdO3bkyy+/NHt/P/30EyNGjMDT05Pg4GDGjRvHuXPnzK771FNPMWfOHPz8/AgJCWH+/Pmm8zfccAMAd999NwqFwvTcniQ0CaucyWvYeqbLhXi7sWpsX5ydFHzxYyb//i7NFt0TQgjL6XXGESbq+k/bxWM7nm3yqbrLDRkyhBkzZjBu3DgKCws5evQozz33HGvWrCE4ONjUbv369Tg7O3Pw4EFee+01Xn31VdasWWM6/8QTT5CcnMzGjRs5fvw49913H8OHD+e3334ztSktLeXll19mzZo1nDx5kqCgoDr7tH79egICAjh48CBPPvkkU6dO5b777mPAgAEcOXKEYcOGMW7cOEpLSwEoKCjgr3/9K3369OGHH35gx44d5OTkMGbMmCuu6+Hhwffff8+yZctYuHAhiYmJABw6dAiAtWvXkpWVZXpuTxKahFXqqzlnjZsi/ZgX1w2ApV/+wr7T5+r5DiGEsKHf9185wmTGANo/je2awNatW/H09DR7LFmyBIAXX3wRX19fHn30UR566CHGjx/PnXeaTxWGh4ezYsUKunTpwtixY3nyySdZsWIFAOnp6axdu5aPP/6YgQMH0qFDB2bPns2tt95qNiVYVVXFqlWrGDBgAF26dEGtVtfZ1169ejFv3jw6derE3LlzcXNzIyAggEceeYROnTrx/PPPc/78eY4fPw7Am2++SZ8+fViyZAldu3alT58+vPfee+zZs4dff71093TPnj154YUX6NSpE/Hx8dx4443s3r0bgMDAQAB8fHwICQkxPbcnWUgirNKYReB1GT/gBo7/Ucjmo38y5YPDfDJlAF1CvGxybSGEuKbiHNu2s9Jtt93G22+/bXbMz88PAJVKxYYNG+jZsycRERGmMFTbzTffjEKhMD2PiYlh+fLl6HQ6Tpw4gU6no3PnzmbfU1FRgb+/v+m5SqWiZ8+e9fa1dhulUom/vz/R0dGmYzUjYLm5xruif/zxR/bs2YOn55WzEqmpqaZ+Xf7aoaGhpmu0RBKahFVMI03XKNRrDYVCwZJ7osm4UMqhsxeYsPYg/3v8FkK83WxyfSGEuCrP4PrbWNPOSh4eHnTs2PGq5/fvN45w5efnk5+fj4eH5f/uFhcXo1QqOXz4MEql+frT2kHG3d3dLHhdjYuLi9lzhUJhdqzmGnq93vT6o0aN4uWXX77iWqGhode8bs01WiKZnhMW0+sNpF3cIqBDPYV6reHmouTd+BvpEOhBVmE5E9YeRFteZbPrCyFEnSIGGO+S42qhQQGaNsZ2zSw1NZWZM2fy7rvv0r9/f8aPH39FmPj+++/Nnh84cIBOnTqhVCrp06cPOp2O3NxcOnbsaPYICQlp8v737duXkydPcsMNN1zx+taEPxcXF3S65l1Tdi0SmoTFMgvLqKzW46JU0MbX3abX9lGrWDfxJgK9jHfUTf3gMJXVLfd/G0KI64CT0ritAHBlcLr4fPhLxnZNoKKiguzsbLPHuXPn0Ol0PPTQQ8TGxjJx4kTWrl3L8ePHWb58udn3p6enM2vWLE6dOsV///tf3njjDaZPnw5A586dGTt2LPHx8WzevJm0tDQOHjzI0qVL2bZtW5O8n9qmTZtGfn4+DzzwAIcOHSI1NZWdO3cyceJEq0LQDTfcwO7du8nOzubChQtN2GPLSGgSFqtZzxTh74HSqf7hXGuF+6lZO+EvqFVK9p0+T8Knx9HrZSsCIUQTiroTxrwPmlDz45ow4/Em3Kdpx44dhIaGmj1uvfVWFi9ezO+//84777wDGKez/vWvfzFv3jx+/PFH0/fHx8dTVlbGTTfdxLRp05g+fTqPPvqo6fzatWuJj4/n6aefpkuXLtx1110cOnSIdu3aNdl7qhEWFsa+ffvQ6XQMGzaM6OhoZsyYgY+PD05OlkeP5cuXk5iYSHh4OH369GnCHltGYZANcuql1Wrx9vamsLAQjUZj7+7Yzfr9Z3lhy0n+FhXMu/E3NtnrJJ3K5eH1P6DTGxjbvx0v3tXDojl3IYRjKS8vJy0tjcjISNzcGrkOUq8z3iVXnGNcwxQxoMlGmGxhyJAh9O7dm5UrV9q7K3Z3rZ8DW39+y0iTsNilmnO2WQR+NUO6BPHqmF4oFLDh+3QWfJEim18KIZqWkxIiB0L0vcavLTgwCfuRu+eExc7UhKbLtxtogv+h/b13Gyqr9TzzyXHW7T+Li1LBP+/oJiNOQggh7EZCk7BYTQmVyNp3zjVhzab7bgynSmfgn/87wbvfpuGidOKZ2C4SnIQQDq92ORTRfGR6TlikvErHHxfKgFobW161ZlMmbBoHPzW+MvWD/dux8O/dAViVlMr/fXVKpuqEEELYhYQmYZGM/FIMBvBydSbAUwXVlbB1JnXXbLro04lwsvHBKT7mBlO5lbf2pPLClpNyV50QwkT+I+XYmvPPX0KTsEh6vrEIYzt/NYqfv4BXu0JpPbXiDHr4eLxNqoRPHtj+4l108H7y78zcdIwqnezjJIQjq9lNuqZIrHBMlZWVAFfsfN4UZE2TsEhNaBrl8gNsWsA1R5gu92UCdI1r9OLwh26OQOPuwqyPjvH5sUyKyqtZNbYvbi5yl4sQjkipVOLj42OqVaZWq2XNo4PR6/Xk5eWhVqtxdm76SCOhSVgkI78MJ/Q8eGEVVgUmgKJM+Ob/YEhCo/txZ68wvFydmfLBYb7+JZf49w7y7rgb8Va71P/NQojrTk1JkJZc5FU0LScnJ9q1a9csgVlCk7BIen4pNzn9gqaygf8wJS2BgC7Q465G9+W2rkH85+H+PLzuEAfT8rn77X28N/4v3HD5VghCiOueQqEgNDSUoKAgqqqkZqUjUqlUVu0y3hgSmoRF/rhQSmcKGneRTycayzl1b3xwuinSj01TYnh43SHO5JVw96p9vDPuRm6K9Gv0tYUQrY9SqWyWNS3CsclCcFEvg8FARn4pufg08kIXF4YnvWzcELORuoVq+GzaLfRs682F0ioeWvM9/zv6R6OvK4QQQtRFQpOoV35JJSWVOg4ZumLwCuPKauBWSloCK3vY5K66II0bHz0aw/DuIVTq9Mz86Ede2fkLOtmSQAghhI1JaBL1yri4qWWglxrFiJcvHm1kcLLhBpjuKiWrxvZlyuAOgHEvpwlrD3KhpLLR1xZCCCFqSGgS9TLt0eSnNpZGGfM+aELNG3mFgbuv9Re30QaYTk4Knh3Rldfu7427i5JvfzvHyDe+48QfhY2+thBCCAGyEFxYIONiaGrr5248EHWncd+ly4v0/rLNOHpkjZp1Tob1Nrmz7u+929AlxIsp/znM2fOljF69n0V/786YG8Nl/xYhhBCNYteRpvnz56NQKMweXbt2NZ0vLy9n2rRp+Pv74+npyejRo8nJyTG7Rnp6OnFxcajVaoKCgnjmmWeorq42a5OUlETfvn1xdXWlY8eOrFu3rjne3nWjJjSF+6ovHXRSQuRAiL7X+NVJaQxT964HRQN+rGw04gTQNUTD50/cytBuwVRW60n49AQzPjqGtlxuRxZCCNFwdp+e6969O1lZWabHd999Zzo3c+ZMvvjiCz7++GP27t1LZmYm99xzj+m8TqcjLi6OyspK9u/fz/r161m3bh3PP/+8qU1aWhpxcXHcdtttHDt2jBkzZjB58mR27tzZrO+zNcu4UGt6Tq+DtG/hxCfGr5ffBdfjLrh3rfUvYuM767zdXfjXuH48E9sFpZOCz49lEvf6txxJv9DoawshhHBMCoMdKx3Onz+fzz77jGPHjl1xrrCwkMDAQD788EPuvfdeAH755Re6detGcnIyN998M19++SUjR44kMzOT4OBgAFavXk1CQgJ5eXmoVCoSEhLYtm0bP/30k+na999/PwUFBezYscOifmq1Wry9vSksLESj0djgnbcuA5d9TUZ+GYnDC+l0ZJFxEXcNTRgMf9k4ylRbyhb4cg4UZVn/gle7ZgMd/v0C0zce5Y8LZSidFMwc2ompQzqidJLpOiGEuJ7Z+vPb7iNNv/32G2FhYbRv356xY8eSnp4OwOHDh6mqqmLo0KGmtl27dqVdu3YkJycDkJycTHR0tCkwAcTGxqLVajl58qSpTe1r1LSpuUZdKioq0Gq1Zg9HVa3Tk1lQTqzTQTomPW4emAC0WbAp/srtA6LuhJknYcg/rX9RG95ZB9Avwpft0wfy995h6PQG/u+rX7n/X8mcPVdik+sLIYRwDHYNTf3792fdunXs2LGDt99+m7S0NAYOHEhRURHZ2dmoVCp8fMw3VAwODiY7OxuA7Oxss8BUc77m3LXaaLVaysrK6uzX0qVL8fb2Nj3Cw8Nt8n5bo6zCcgx6HfNd3qfumnMXj+149sppNSelsd5cQ9c5fTIB9iy1yXSdxs2Flf/ozfL7euGhUnLo7AWGv/YN732Xhl72dBJCCGEBu4amESNGcN9999GzZ09iY2PZvn07BQUFbNq0yZ7dYu7cuRQWFpoeGRkZdu2PPWVcrDkXqsi/xs5MBtD+abybri4NXeeEAfa+BK90tMlGmAqFgtH92rJjxiBu6ehPeZWehVtT+IeMOgkhhLCA3afnavPx8aFz586cPn2akJAQKisrKSgwr3eWk5NjqmodEhJyxd10Nc/ra6PRaHB3d6+zH66urmg0GrOHo8q4UEqQpTXninOufq77XQ0fcSrLt+l0Xbifmg8e7s+Ld/UwG3ValXSaKp3eJq8hhBDi+tOiQlNxcTGpqamEhobSr18/XFxc2L17t+n8qVOnSE9PJyYmBoCYmBhOnDhBbm6uqU1iYiIajYaoqChTm9rXqGlTcw1xbWnnrKg55xl87fMNHnG66JMJ8GVC3XftWUmhUPDQzRHsmDGIAR2Mo07Ldpwi7vVv+eFsfqOuLYQQ4vpk17vnZs+ezahRo4iIiCAzM5MXXniBY8eOkZKSQmBgIFOnTmX79u2sW7cOjUbDk08+CcD+/cZpIJ1OR+/evQkLC2PZsmVkZ2czbtw4Jk+ezJIlSwDjlgM9evRg2rRpTJo0ia+//pqnnnqKbdu2ERsba1E/Hfnuucf+8wOJJ7M44f00HhW51L2uSWG8423GCeM6pvo05s66Gu4+0P9xGDTbste8BoPBwKdH/mTJ9p/Jv1h65f6/hJMwvCu+HqpGXVsIIYT9XFd3z/3xxx888MADdOnShTFjxuDv78+BAwcIDAwEYMWKFYwcOZLRo0czaNAgQkJC2Lx5s+n7lUolW7duRalUEhMTw0MPPUR8fDwLFy40tYmMjGTbtm0kJibSq1cvli9fzpo1aywOTI7uTF4Jepw4e1PN3leXr2y6+Hz4S5aHl8bcWVejrMBY+NcG650UCgX39mvL7lmD+ceNxkX/Gw9lcNvyJP6TfJZqmbITQgiBnUeaWgtHHWnS6Q10e24HlTo93865jfDsXbAj4bJ9mtoYA1ND91T66TPjbuCGRgaTe21ThgXg0Nl85v3vJ07lFAHQJdiL50dFcUvHAJtcXwghRPOw9ee3hCYLOGpoysgvZeCyPaicnfh54XDjZpB63ZU15xo5PcbJz4y7gTeKAgYnwOA5je8Pxv2p/nswneWJv1JQaiy/MiwqmIQRXekQ6Nno6wshhGh6EprswFFD095f8xj/3kE6B3vy1czBTftiKVvgi6egrJFlTlRe0HccdLnDJoGuoLSSlbt+4z8HfkenN6B0UnBfv7ZMH9qJUO+6774UQgjRMlxXa5pEy5aWVwxAZIBH079Y1J3wTCoMfpYr101ZobIIDqyC9SPhlfaNrmXno1Yx/87ufDl9IEO7BaPTG9h4KIPBrySxZPvPXLi4cFwIIcT1T0KTuKozFzd8jAxopukoJyXcNhfuW2eb69UsFl9M6r+GAAAgAElEQVQa3ujw1DnYizXjb+TTqTHcdIMfldV6/vXNGQYt28ObX/9GaWW1bfoshBCixZLQJK4q7WJoah/oYQwcad/CiU9ssk/SNXW/C8b8x7iNgS1UldgsPPWL8OOjx25m7cS/0C1UQ1FFNf/31a8MWraHt5NSKSqvsk2fhRBCtDiypskCjrqm6ZaXvubPgjJ2jSik4+FFl901FwbDX274XXOWqFl0fmo7HPmPcerNFmy07kmvN/DF8UyWf/Ur6fmlAHi7uzBhwA1MvOUGfNSyx5MQQtiTLAS3A0cMTeVVOro9v4NhioOsVr2G4opNLS+uOxrzftMGpxp6HexdBntfpu4NNhvIBptkVun0fH4sk1VJpzmTZxyd81ApeSgmgsm3tifQy9V2/RVCCGExCU124Iih6ZdsLXes3Mt+t+kEc/4qS7Ot3AncFmyyPUEdXDzglumNCk86vYEvf8riza9P80u2cVTM1dmJMTeGM+nWyOZZUC+EEMJEQpMdOGJo+vJEFuv/+wEbVS/W33j8Vogc2PSdqmGr7QnqYoOpO4PBwO6fc3lzz2mOZRiLHSsUcHvXICbdEklMB38UikbcISiEEMIitv78drZBn8R16My5EoIosKxxcU7TduZyUXdC1zj45v/g+7dtG55qtiw4sKrBU3cKhYKhUcHc3i2I/annWfPtGfacymPXz7ns+jmXbqEaJt1yA3f2DsPVuZlG6IQQQjSajDRZwBFHmmZ//CN/HP2qZY401dZUi8Vrs8HUXWpeMWv3pfHp4T8pqzLevRfgqeLBm9rxj5va0cZHNsoUQghbk+k5O3DE0HTPqn0cS8/npO9s3MtyqHvxtR3WNF2LXmccfdr/GlSW2P76Lh4w4EnjtF1JXoPKyBSUVvLfgxms33+WbG05AE4KuK1LEGNvbsfgzkHGcjVCCCEaTUKTHThiaOqz8CsulFbx7ahiwhMfu3i09o9KM989Z42mDk+1NXAKr0qnZ8dP2Xz4fTrJZ86bjrfxcef+v4Tzj7+EE6Rxa4oeCyGEw5DQZAeOFpoulFTSZ1EiACkLY1Gf3g47Ei7bp6kNDH+p5QWm2mrCk63XPdWlEVN4qXnF/Pf7dD458oepOLDSScFtXQIZ3bctf+0WJGufhBCiASQ02YGjhaYj6Re4Z9V+Qr3dSJ57u/Fgzdqh4pwGTUvZVXOse6rRiCm88iodX/6UxYffp3Po7KWQ56N2YVTPMO7t15aebb3lzjshhLCQhCY7cLTQ9OnhP3j64x8Z0MGfDx+52d7dsa3mnLqr4eYNXUZChyHgFWpRiDqdW8SnR/5k85E/yNFWmI53DPJkdN+2jOoVSltfdRN3XAghWjcJTXbgaKHplZ2/8NaeVMb2b8fiu6Pt3Z2m0ZxTd5ezYh2UTm9g3+lzfHrkD3b8lE1Ftd50rl+EL6N6hnJHz1CCvGT9kxBCXE5Ckx04Wmh6fMNhtp/I5rmRUTw8oF3rnZazRHNO3V1O5QV9xoJPO/AIrHcUSltexfbjWXx+LJMDaeep+ZvrpICb2/szqlcYI3qESM07IYS4SEKTHThaaBq+8ht+yS7ii9vziT6xpPkL9dqLPabuLufuAzdNqXdNVI62nG3Hs/jieCZH0y9tQqp0UnBzez+GRYUwrHswod6y/5MQwnFJaLIDRwpNer2BqBd2MFh3oGUU6rWHlhCeaqtnTVRGfilbj2ex5cdMfs7Smn1rr7beDOseQmz3YDoGeTVzx4UQwr4kNNmBI4WmPwvKGPjSLva5PkWIIr/lFOq1B3uue7qWa4xG/X6+hK9O5rDzZDaH0y9Q+293+0APYruHMCwqmF5tfXCSTTSFENc5CU124Eih6bvfzvHm2rUtv3xKc6q93YI6ANKTIfmNljEKVaOO0ajckip2peSy82Q2+1PPUaW79Ffdz0PF4M6BDOkSyKBOgfh6yDooIcT1R0KTHThSaPpP8lkOffEur6verL/x6H9D9L1N3qcWqaVN4V2u9mhUcQ5lBdmkaF35NtuFtRmhFFZcugvPSQG9w30Y0iWI27oE0T1MI6NQQojrgoQmO3Ck0LTgi5P8nLxdRpos1VKn8K7B4OpNbtuhfE8032Wr+OR8O/Q4mc4HeKoY1DmQWzsGcEvHAIKlnIsQopWS0GQHjhSaJqw9yDencjjh8zQe5bm0ikK9LUFdU3gH32kVQUrn5sdvwSP4sVjDkTwFHjot5w0acvDjoL4rkYFe3NoxgAEdA7i5vT/e7i727rIQQlhEQpMdOFJoGrRsD+n5pXwVW0DnvdMuHm0lhXpbmpogVZQFZ/bAqS9bRYiq7YLBg7XVsRwydCWIAvwVWjx8gwkN70C73kPpG+mPWuVs724KIUSdbP35Lf/aCZMqnZ4/LpQC4N1vNAR71VGoN6zlF+ptKZyUl6Yve44x30jz+CYoPWff/lnAV1HCLJfN5geLgZ/hQooH/9IN57xfP/oFVNLNq5K2bdrgoSu0aLNOIYRobWSkyQKOMtL0+/kSBr+ShKuzE78sGm4sDNuaC/W2ZNfBKJQl9K4+ON18aUE6JXkSqIQQzUZGmkSTycgvAyDcT20MTGA+WiJs52qjUK1wTdS1OFUUwN6X6j5Ze5sEjyBQKCRYCSFaNAlNwiQ93zg1F+HrCmnfyuhSc7o8nHYYAoPnXN+jUeWF8OMG4+NqJFgJIVoQmZ6zgKNMz7284xfOfPNflnlswLsq79KJ67neXGtynY5GNdple1JRkgdqfyg9L8FKCAcnd8/ZgaOEpn+9s5LJmS+gUHBZ+RS5Y67FcpC1UY12rWAlAUuI65aEJjtwiNCk13Huxc746c5R92bQsjdTq3D5aFTNdJYEKsup/SH6PvBpV3ewkmlCIVoNWQgumsbv+wnQn7t8iKkWA2j/NH4gy8LwlutqC/drLzYvyjJ+2BdkwImPW8XWB82q9Dx8v9r677N0NKsmdF1WbFkI0fJJaBIAlF/IxKJiGcU5Td0V0VTqClSxi82DlNof0vbKqFRDlF3jTsFrqVns3n7Q1UezZApRiBZBQpMAIMfgQ4QlDT2Dm7orojnVFaR63S/TfM3JkrsIL1ff4verhS4JX0I0SosJTS+99BJz585l+vTprFy5EoAhQ4awd+9es3aPPfYYq1dfGjpPT09n6tSp7NmzB09PT8aPH8/SpUtxdr701pKSkpg1axYnT54kPDycefPmMWHChGZ5X63FL649cDH4EaLIr1W6tbaLa5oiBjRzz4RdWDLNd3mgkpGq5tPQUa3LWbt+S8KXcHAtIjQdOnSId955h549e15x7pFHHmHhwoWm52q12vRrnU5HXFwcISEh7N+/n6ysLOLj43FxcWHJkiUApKWlERcXx5QpU9iwYQO7d+9m8uTJhIaGEhsb2/RvrpXIuFDB5qp4VqtWYlzYVEe9ueEvyT+Mov4NT2WkqvVo6Pqty9UVviwNXbKwXrQidg9NxcXFjB07lnfffZcXX3zxivNqtZqQkJA6v/err74iJSWFXbt2ERwcTO/evVm0aBEJCQnMnz8flUrF6tWriYyMZPny5QB069aN7777jhUrVkhoqiUjv5Sd+pv4rPNL3J39utSbE41jzYL0yz84JVi1PrYKX7Vda2NTa0bFJJgJG7J7aJo2bRpxcXEMHTq0ztC0YcMGPvjgA0JCQhg1ahTPPfecabQpOTmZ6OhogoMvrbOJjY1l6tSpnDx5kj59+pCcnMzQoUPNrhkbG8uMGTOu2qeKigoqKipMz7VabWPfZouXccFYQqWsQxzc/6jUmxNNp76RKglWAhq21statgpmEtAchl1D08aNGzly5AiHDh2q8/yDDz5IREQEYWFhHD9+nISEBE6dOsXmzcaq69nZ2WaBCTA9z87OvmYbrVZLWVkZ7u7uV7zu0qVLWbBgQaPfX2tSU0KlnZ9a6s0J+7MmWMnaKtFQzRHMalgS0BoazGRri2Zjt9CUkZHB9OnTSUxMxM2t7pvdH330UdOvo6OjCQ0N5fbbbyc1NZUOHTo0Wd/mzp3LrFmzTM+1Wi3h4eFN9nr2ZjAYyLgYmsL9rgyRQrRIjVlbVdcHjexbJZpScwa0uli7tUVTjby18psI7BaaDh8+TG5uLn379jUd0+l0fPPNN7z55ptUVFSgVJr/Rvbv3x+A06dP06FDB0JCQjh48KBZm5wc4z5CNeugQkJCTMdqt9FoNHWOMgG4urri6urauDfYiuQVVVBRrcdJAWE+EprEdcTaUdO69q261oeATBOK1sLeoe1qam+f0QpGxewWmm6//XZOnDhhdmzixIl07dqVhISEKwITwLFjxwAIDQ0FICYmhsWLF5Obm0tQUBAAiYmJaDQaoqKiTG22b99udp3ExERiYmJs/p5aq5qpuTYaFS7p+2Qtk3Bc1oYsS6YJ6wpdUmxZCKO6ts9owUXiW1TtuSFDhtC7d29WrlxJamoqH374IXfccQf+/v4cP36cmTNn0rZtW9PeTTqdjt69exMWFsayZcvIzs5m3LhxTJ482WzLgR49ejBt2jQmTZrE119/zVNPPcW2bdssvnvueq899/EPGezavIYl7h/gr6s1NdGCf3CFaPUuX+x+jSmNajdfyk4l4XZmBy6VhfbuuRBNzHZF4h2m9pxKpWLXrl2sXLmSkpISwsPDGT16NPPmzTO1USqVbN26lalTpxITE4OHhwfjx48329cpMjKSbdu2MXPmTF577TXatm3LmjVrZLuBWpx/3crbLitR6C47oc2CTfE2+cEVQlzGilEtZ8Crz4NXHdUylORR5KShKD+HcwYv/qjy5nxxBVUFWehLzvF7qSuqqgLyDZ74KYppQx53Oe/HX1HUtO9RiAYxAArY8Sx0jWtRMx4taqSppbquR5r0OvIXd8GnOg+nOov1XtwJfMaJFvWDK4SwTnmVjsyCMjILysksKCOnsAS3rO8xFGRiKDlHRrmbWbA6b9CQiw8AQRTgr9CazuUbPAl3LaOD6gJ/rdqLRi+jX6KJjN/aqLu5HWakSTST3/fjp8szjYZeyQDaP43/u5VtCIRotdxclLQP9KR9oGeto13N2lRU68jVVpCjLSersJwcbTnZheVka8s5oTV+zSmsoFKvhzKgDJwYw01OvxBMvlmwqgldahcl7d2KaaMqQaH2J9ilFGdPfwKcSnDzDkLt3wYftQueVedxSkuShfXCXAsrEi+hycHpi7KvUmvuMi3sB1cIYXuuzkrC/dSE+6mv2sZgMJBfUmkMUNpy8ooqyNV2Ja+4gkxtBXnFFRwuKidXa7wrlwrYXXHVywF6oAJnJy8Cve4lyON+YjS/Eq4sIEhZhNIrEKUmFG93Z/wNBWj0Bah9gnCpuNCwHcHljsfWpYUViZfQ5ODO4UuQJQ1b2A+uEMI+FAoF/p6u+Hu60j3M+6rtDAYDRRXV5GorjMGqyBiwah65RZeOXyitolpvIKuwnKxC+JEwIKyOqwZefICXmz8Bnq74e7TD31OFv6crAR4q/D0jjM89XAkIMR73cXfBqWb9gSU7zttqXyIJaI3QMovES2hycL+oelBt8CNEkX+VEaeW+YMrhGjZFAoFGjcXNG4udAzyvGbbymo954qNQep8cQXniys5V2L8er64gvMllZwrriT/4rFqvYGi8mqKyqtJO1dSb1+cFODnocJXrcLXQ4Wv2gU/D2981IH4qVX4VLrg53LxXJgKP7UKLzfnS0GroawNaLYOb612a4uWWyReQpODS8svZ0NVPKtVKzH+oNa+L6Dl/uAKIa4fKmcnwnzcLdpc12AwoC2rNgtV50oqTWHrfEkF52qFrYLSKvQGOFdsDF6WclKAr1qFj9oFPw8VPmpjmPLxcMHPFL5U+Hm4mM5p3F1QXh607FmWqsMQGDzH4q0tmm1H8PpKHLXgIvESmhxc2rkSdupvYnOnpYzOeQO0mZdOtuAfXCGEY1IoFHirXfBWu9AhsP72VTo9F0orOVdUSUFpJRdKq8gvreRCSSUXTF+ruFBaSf7FkFVcUY3eAOdLKjlfUklqXv2jWca+gcbNBW93F3zUxq8adxd83M2PeburLnvuglqlRKFo5MhWXVpiLdGrlTiSHcFFS5eaVwxAdeeR8MBjl36IW/gPrhBCWMJF6USQlxtBXnXXOK1LRbWOQlO4qh2oKskvqTJ+vRjALpQYg1dRRTUGAxSWVVFYVkV6vrX9VJgClDFQqcye1w5ZpkDm5oKXmwtuLk5NE7iaUksMcxaQ0OTgatYDRAZ4ttofYiGEsCVXZyVBGiVBGsuDVmW1noKySrQXQ1NBqfnX2o+C0kqz51U6A1U6g9VTiDVclAq83FzQuDkbv7o74+XqgpebMxr3i1/drnyuudjW09UZZ6VF91E7PAlNDqy8SsefBWU4oadL2TE4kS8jTEII0QAqZ+tHtMC4RqusSndFyNKWVVFQVnmN4FVFUblxvVaVzrgNRH6J9YGrhlqlrDNY1X5+KZg54+nqgqer8dcersbgpXK+/oOXhCYH9vv5UoYpDrLA9T94bzp/6YTUnBNCiGahUChQq5xRq5wtWghfm8FgoKRSR1F5FdqyauPX8iqKyqvRllWhLa82e15Ux/OyKmP9rNJKHaWVOrK1DX8vKmcnvFyd8XQzhqiaUOVpOuZy6fnFY7Xbe7u74O/p2vAONAMJTQ6s9MfNxppzl5+QmnNCCNHiKRQKUwAJvfqWWddUpdObhaia4KW9RtAqqaymuLyaogrj15rgVVmt53y1cfF8Q0S38eaLJ29t2BtpJhKaHJVeR6cjLwJ1VVBpucUShRBC2I6L0gk/DxV+HqoGX6Nap6ekQkdRhfHOw5pAVXLx18UVxj21ims/r6imuNy8vca95UeSlt9D0TR+349nRa7UnBNCCNEozkonvNVOeKtdGnUdg8FQfyM7u/5XbYm6WVpLTmrOCSGEaAatYdsECU2OytJaclJzTgghhAAkNDmsgsAbyTT4ob/qaKgCNG2k5pwQQghxkYQmB5WWX86CqniMo6GXD4lKzTkhhBDichKaHNSZPGPNuRW+z4Em1PykJky2GxBCCCEuI3fPOaia8inn2sXC32dKzTkhhBCiHhKaHFRNaGof4CE154QQQggLyPScgzpjKtTrYeeeCCGEEK2DjDQ5IL3eQNq5YpzQE1VxHE4UyrScEEIIUQ8JTQ4oW1vOYN0B5ru+T+hn+ZdOSKFeIYQQ4qpkes4BFR4xFuoNUeSbn6gp1JuyxT4dE0IIIVowCU2ORq+j3fcLgKsV6sVYqFeva85eCSGEEC2ehCZH8/t+PCpycLKkUK8QQgghTCQ0ORop1CuEEEI0iIQmRyOFeoUQQogGkdDkYPThMWRJoV4hhBDCahKaHExOSRXzq+IBMEihXiGEEMJiEpocTEZ+GTv1N/Gc6xwUUqhXCCGEsJhsbulg0vNLATgbdDtMelYK9QohhBAWktDkYDIuhqZwX7UU6hVCCCGsINNzDuaP80Xc7JTCX6u/gbRvZRNLIYQQwkIy0uRIUrYw99eZBKjOwc8YH1JvTgghhLCIjDQ5ipQtsCkeP/058+NSb04IIYSwSIsJTS+99BIKhYIZM2aYjpWXlzNt2jT8/f3x9PRk9OjR5OSY71Sdnp5OXFwcarWaoKAgnnnmGaqrq83aJCUl0bdvX1xdXenYsSPr1q1rjrfUcuh1sCMBA4Y6/sCl3pwQQghhiRYRmg4dOsQ777xDz549zY7PnDmTL774go8//pi9e/eSmZnJPffcYzqv0+mIi4ujsrKS/fv3s379etatW8fzzz9vapOWlkZcXBy33XYbx44dY8aMGUyePJmdO3c22/uzu9/3gzazjgK9NaTenBBCCFEfu4em4uJixo4dy7vvvouvr6/peGFhIf/+97959dVX+etf/0q/fv1Yu3Yt+/fv58CBAwB89dVXpKSk8MEHH9C7d29GjBjBokWLeOutt6isrARg9erVREZGsnz5crp168YTTzzBvffey4oVK+zyfu1C6s0JIYQQjWb30DRt2jTi4uIYOnSo2fHDhw9TVVVldrxr1660a9eO5ORkAJKTk4mOjiY4+FKdtNjYWLRaLSdPnjS1ufzasbGxpmvUpaKiAq1Wa/Zo1aTenBBCCNFodg1NGzdu5MiRIyxduvSKc9nZ2ahUKnx8fMyOBwcHk52dbWpTOzDVnK85d602Wq2WsrKyOvu1dOlSvL29TY/w8PCGvcGWImIAaMK4ark5qTcnhBBC1MtuoSkjI4Pp06ezYcMG3Nzc7NWNOs2dO5fCwkLTIyMjw95dahwnpXFbAaijUK/UmxNCCCEsYbfQdPjwYXJzc+nbty/Ozs44Ozuzd+9eXn/9dZydnQkODqayspKCggKz78vJySEkJASAkJCQK+6mq3leXxuNRoO7u3udfXN1dUWj0Zg9Wr2oO1ns8U+y8TM/LvXmhBBCCItYtLmln59f/Y1qUSgUHDlyhIiIiKu2uf322zlx4oTZsYkTJ9K1a1cSEhIIDw/HxcWF3bt3M3r0aABOnTpFeno6MTExAMTExLB48WJyc3MJCgoCIDExEY1GQ1RUlKnN9u3bzV4nMTHRdA1HYTAY+Ki4N+9VvM7eMSrCXYqk3pwQQghhBYtCU0FBAStXrsTb27vetgaDgccffxyd7tp7/nh5edGjRw+zYx4eHvj7+5uOP/zww8yaNQs/Pz80Gg1PPvkkMTEx3HzzzQAMGzaMqKgoxo0bx7Jly8jOzmbevHlMmzYNV1dXAKZMmcKbb77JnDlzmDRpEl9//TWbNm1i27Ztlrz160ZBaRVFFdWAE/49bgeVbAYvhBBCWMPiT87777/fNJpTnyeffLLBHaptxYoVODk5MXr0aCoqKoiNjWXVqlWm80qlkq1btzJ16lRiYmLw8PBg/PjxLFy40NQmMjKSbdu2MXPmTF577TXatm3LmjVriI2NtUkfW4sz50oACPV2Qy2BSQghhLCawmAwXP2mKgGAVqvF29ubwsLCVru+6eMfMnjmk+MM6ODPh4/cbO/uCCGEEE3O1p/fMuTgIM7mabnZKYW7nJWQViVrmYQQQggrNTg0paSkkJ6ebtp5u8add8pdWC1OyhYm/zCLZ1R58DuwHuNdc8NflrvmhBBCCAtZHZrOnDnD3XffzYkTJ1AoFNTM7ikUxv1+6lsALppZyhbYFI/P5VtbarNgU7xsNyCEEEJYyOp9mqZPn05kZCS5ubmo1WpOnjzJN998w4033khSUlITdFE0mF4HOxIwYKijWO/FELXjWWM7IYQQQlyT1aEpOTmZhQsXEhAQgJOTE05OTtx6660sXbqUp556qin6KBrq9/2gzawjMNUwgPZPYzshhBBCXJPVoUmn0+Hl5QVAQEAAmZmZAERERHDq1Cnb9k40TnFO/W2saSeEEEI4MKvXNPXo0YMff/yRyMhI+vfvz7Jly1CpVPzrX/+iffv2TdFH0VCewfW3saadEEII4cCsDk3z5s2jpMS4UeLChQsZOXIkAwcOxN/fn48++sjmHRSNEDEANGEYrjpFpzDeRRcxoJk7JoQQQrQ+NtncMj8/H19fX9MddNebVr25ZcoWDJvGYTCAk9kfz8UncvecEEKI65StP7+tWtN09uxZ3n33Xd566y1++ukn03E/P7/rNjC1elF3Mk81h2wuK7qsCZPAJIQQQljB4um5PXv2MHLkSMrKyozf6OzMe++9x0MPPdRknRONV1Gt48Oi3vzX8DqH49X46i4Y1zDJjuBCCCGEVSweaXruuef429/+xp9//sn58+d55JFHmDNnTlP2TdhA+vlSDAbwcFXh0+2vEH0vRA6UwCSEEEJYyeLQ9NNPP7FkyRJCQ0Px9fXllVdeITc3l/Pnzzdl/0QjpeYZF+1HBnrIFKoQQgjRCBaHJq1WS0BAgOm5Wq3G3d2dwsLCJumYsI2aQr2jVQcg7VvZ/VsIIYRoIKu2HNi5cyfe3t6m53q9nt27d5stCpeCvS1Iyhbu3zeLKao8yEQK9QohhBCNYPGWA05O9Q9KKRSK67Jgb6vccuBiod4r687JVgNCCCEcg922HNDr9fU+rsfA1CpdLNSLFOoVQgghbMbq2nOiFbhYqPfqpFCvEEIIYS2LQtOWLVuoqqqy+KLbt2837eck7EAK9QohhBA2Z1FouvvuuykoKLD4ovfffz9ZWVkN7pRoJCnUK4QQQticRXfPGQwGJkyYgKurq0UXLS8vb1SnRCNJoV4hhBDC5iwKTePHj7fqomPHjm09d5ldj5yUxm0FNo1Df7VCvcNfkl3BhRBCCCtYFJrWrl3b1P0QthZ1J4s9/smk4tWEkX/puCbMGJhkuwEhhBDCKlZtbilaD4PBwAZtL96rep3v7nclTKmVQr1CCCFEI0houk7laCsoq9KhdFISGD0UlLK7hBBCCNEYEpquR3od507s4k6nZJw0IbgoLNr0XQghhBDXIKHpepOyBXYk0EObyesqoBxYuUrqzQkhhBCNJHM215OL9eau2A1cm2U8nrLFPv0SQgghrgMNCk27d+9m5MiRdOjQgQ4dOjBy5Eh27dpl674Ja9SqN3clqTcnhBBCNJbVoWnVqlUMHz4cLy8vpk+fzvTp09FoNNxxxx289dZbTdFHYQmpNyeEEEI0KavXNC1ZsoQVK1bwxBNPmI499dRT3HLLLSxZsoRp06bZtIPCQlJvTgghhGhSVo80FRQUMHz48CuODxs2jMLCQpt0SjSA1JsTQgghmpTVoenOO+/kf//73xXHP//8c0aOHGmTTokGuFhvjqtUmzPWm2sj9eaEEEKIBrJ6ei4qKorFixeTlJRETEwMAAcOHGDfvn08/fTTvP7666a2Tz31lO16Kq7NVG8uHgMKFGYLwqXenBBCCNFYCoPBYNXOh5GRkZZdWKHgzJkzDepUS6PVavH29qawsLDlFyJO2ULx50/jWZF76ZimjdSbE0II4XBs/flt9UhTWlpao19UNKM6f5AAACAASURBVKGoO1nyczhnDu8ivocbd8T0lnpzQgghhA3I5pbXofQLlRzQR1Ha5W6IHCiBSQghhLABi0aaZs2aZfEFX331VYvbvv3227z99tucPXsWgO7du/P8888zYsQIAIYMGcLevXvNvuexxx5j9erVpufp6elMnTqVPXv24Onpyfjx41m6dCnOzpfeWlJSErNmzeLkyZOEh4czb948JkyYYHE/W5v0/FIA2vmp7dwTIYQQ4vphUWg6evSo2fMjR45QXV1Nly5dAPj1119RKpX069fPqhdv27YtL730Ep06dcJgMLB+/Xr+/ve/c/ToUbp37w7AI488wsKFC03fo1ZfCgI6nY64uDhCQkLYv38/WVlZxMfH4+LiwpIlSwDjdGJcXBxTpkxhw4YN7N69m8mTJxMaGkpsbKxV/W0NqnV6MgvKAAj3c7dzb4QQQojrh0Whac+ePaZfv/rqq3h5ebF+/Xp8fX0BuHDhAhMnTmTgwIFWvfioUaPMni9evJi3336bAwcOmEKTWq0mJCSkzu//6quvSElJYdeuXQQHB9O7d28WLVpEQkIC8+fPR6VSsXr1aiIjI1m+fDkA3bp147vvvmPFihXXX2jS68g/uYc72Ee+sy/BHtfZ+xNCCCHsyOo1TcuXL2fp0qWmwATg6+vLiy++aAomDaHT6di4cSMlJSWmrQwANmzYQEBAAD169GDu3LmUlpaaziUnJxMdHU1w8KUNG2NjY9FqtZw8edLUZujQoWavFRsbS3Jy8lX7UlFRgVarNXu0eClbYGUPgjaP5nXVm3zgvAin16OlSK8QQghhI1bfPafVasnLy7vieF5eHkVFRVZ34MSJE8TExFBeXo6npyf/+9//iIqKAuDBBx8kIiKCsLAwjh8/TkJCAqdOnWLz5s0AZGdnmwUmwPQ8Ozv7mm20Wi1lZWW4u185hbV06VIWLFhg9Xuxm5QtsCmeK4r1arOMx8e8L9sNCCGEEI1kdWi6++67mThxIsuXL+emm24C4Pvvv+eZZ57hnnvusboDXbp04dixYxQWFvLJJ58wfvx49u7dS1RUFI8++qipXXR0NKGhodx+++2kpqbSoUMHq1/LUnPnzjVb/K7VagkPD2+y12sUvQ52JHBFYIKLxxSw41noGid30QkhhBCNYHVoWr16NbNnz+bBBx+kqqrKeBFnZx5++GFeeeUVqzugUqno2LEjAP369ePQoUO89tprvPPOO1e07d+/PwCnT5+mQ4cOhISEcPDgQbM2OTnGgrQ166BCQkJMx2q30Wg0dY4yAbi6uuLq6mr1e7GL3/eDNvMaDQyg/dPYLtK6NWdCCCGEuMTqNU1qtZpVq1Zx/vx5jh49ytGjR8nPz2fVqlV4eHg0ukN6vZ6Kioo6zx07dgyA0NBQAGJiYjhx4gS5uZd2v05MTESj0Zim+GJiYti9e7fZdRITE83WTbVqxTn1t7GmnRBCCCHqZPVIUw0PDw969uzZqBefO3cuI0aMoF27dhQVFfHhhx+SlJTEzp07SU1N5cMPP+SOO+7A39+f48ePM3PmTAYNGmR63WHDhhEVFcW4ceNYtmwZ2dnZzJs3j2nTpplGiqZMmcKbb77JnDlzmDRpEv+/vXuPi6rO/wf+GkZmAGEGkctAXETNC4qWVji1mSWBLqWt9sjK9bJlpTtWqCnLrmnZ7sLqVuuj0npsJe6WmX5/2kVMwguaOWrxkBRJNhXBTQZcDQaV+3x+f8CcHLk41TDnDLyej8c8gnPec3h/PDDn3bl83rt378amTZuQnZ39i3JXDP+w68f8lDgiIiJq188umlyhsrISM2fORHl5OfR6PUaMGIGcnBzce++9OHv2LHbu3Il//OMfuHz5MqKiojB16lQsXbpUer9arca2bdswb948GI1G9O7dG7NmzXKY1yk2NhbZ2dlYsGABVq9ejcjISLz99tvdZ7qBmNsBXUTLTd/t3tekalkfc7u7MyMiIupWfnLD3p5I8Q17W5+ea7nt++rdqWr5D5+eIyKiHsjVx2/2nusO4iYBD/0LtT6hjst1ESyYiIiIXETWy3PkQnGTsLZsIL7al43fDFRj2t23tlyS4zQDRERELsGiqRs5daEWB21xSLxxKBDbX+50iIiIuhVenutGTp+/DAAYEOIvcyZERETdD880dQe2ZtjOfIlhFz9HoJcesUGcxJKIiMjVWDR5uqJPgB1p8LKew8teADSA+Pe7wMS/8QZwIiIiF+LlOU9mb9R7TRsVVU1ro96iT2RKjIiIqPth0eSprtuoFy2Nem3N7syKiIio22LR5Kl+SqNeIiIi+sVYNHkqNuolIiJyKxZNnoqNeomIiNyKRZOnsjfqtfeXa0MF6G5go14iIiIXYdHkqbzUwIS/AQBEm8Kp9fsJmWyjQkRE5CIsmjxZa6Peet9rLsGxUS8REZHLcXJLTxc3Cf+qHILdn3+MCTEqzE5KYKNeIiKiLsCiqRs4faEOB21xSOh/IxA7SO50iIiIuiUWTZ7M1gyUHkB42RcY4+WN/sHxcmdERETUbbFo8lStPedgPYdnATyrARp2vgNoV/JeJiIioi7AG8E9UQc957wvW9hzjoiIqIuwaPI0nfScU7HnHBERUZdh0eRp2HOOiIhIFiyaPA17zhEREcmCRZOnYc85IiIiWbBo8jTsOUdERCQLFk2ehj3niIiIZMGiyRO19pyz+Rscl7PnHBERUZfh5JaeKm4SDnuPwep16xEXcAXLHr6HPeeIiIi6EIsmD3bmh5aecz6GECD2NrnTISIi6tZ4ec6Dnb14BQAQHeQncyZERETdH4smD1bWWjRF9WHRRERE1NV4ec7T2JpbZvu+VAF9xXl4IRJRPNNERETU5Vg0eZKiT1r6zrW2UfkLAJM2CE3VGQAeljU1IiKi7o5Fk6co+gTYNBPXNuo14CJUuXOBPn6caoCIiKgL8Z4mT2BrbjnDdE3BBABeqtYpLXf8oSWOiIiIugSLJk9QekC6JNc+AVi/b4kjIiKiLsGiyRNcqnBtHBEREf1kshZNa9euxYgRI6DT6aDT6WA0GvHZZ59J6+vq6mAymdC3b1/4+/tj6tSpqKhwLAzKysqQkpICPz8/hIaGYvHixWhqanKIycvLw6hRo6DVajFw4EBkZWW5Y3iu4x/m2jgiIiL6yWQtmiIjI5GZmYn8/Hx8/fXXuOeeezB58mQcP34cALBgwQJ8+umn2Lx5M/bu3Ytz585hypQp0vubm5uRkpKChoYGHDhwAOvXr0dWVhaWLVsmxZSUlCAlJQV33303CgoKkJqaijlz5iAnJ8ft4/3ZYm5v6SvXpkGvnQrQ3dASR0RERF1CJYRoe3exjIKCgrBq1So8+OCDCAkJwYYNG/Dggw8CAE6cOIGhQ4fCbDZjzJgx+Oyzz3Dffffh3LlzCAtrOcvy5ptvIi0tDefPn4dGo0FaWhqys7NRWFgo/YyHH34YVVVV2LFjh1M5Wa1W6PV6VFdXQ6fTuX7QzpCengOuviFcQNVSSrFRLxERkQNXH78Vc09Tc3MzNm7ciMuXL8NoNCI/Px+NjY1ITEyUYoYMGYLo6GiYzWYAgNlsRnx8vFQwAUBycjKsVqt0tspsNjtswx5j30Z76uvrYbVaHV6yi5vUUhjpwh0WN/uHs2AiIiJyA9nnaTp27BiMRiPq6urg7++PrVu3Ii4uDgUFBdBoNAgMDHSIDwsLg8ViAQBYLBaHgsm+3r6usxir1Yra2lr4+vq2ySkjIwMvvviiy8boMnGTgCEp+OFEHpa/txuVCMS/nkkFNN5yZ0ZERNTtyX6mafDgwSgoKMChQ4cwb948zJo1C0VFRbLmlJ6ejurqaul19uxZWfNx4KXG6d6j8IntdpzVjYaGBRMREZFbyH6mSaPRYODAgQCA0aNH46uvvsLq1asxbdo0NDQ0oKqqyuFsU0VFBQwGAwDAYDDg8OHDDtuzP113dcy1T9xVVFRAp9O1e5YJALRaLbRarWsG2AXOtjbqjezTfv5ERETkerKfabqWzWZDfX09Ro8eDW9vb+zatUtaV1xcjLKyMhiNRgCA0WjEsWPHUFlZKcXk5uZCp9MhLi5Oirl6G/YY+zY8hq0ZKPkCOPZ/sJ3eBy/YEM1GvURERG4j65mm9PR0TJw4EdHR0aipqcGGDRuQl5eHnJwc6PV6PP7441i4cCGCgoKg0+nw9NNPw2g0YsyYMQCApKQkxMXFYcaMGVi5ciUsFguWLl0Kk8kknSmaO3cuXn/9dSxZsgSPPfYYdu/ejU2bNiE7O1vOof801zTqnQJgjDYIR2x/ADBS1tSIiIh6ClmLpsrKSsycORPl5eXQ6/UYMWIEcnJycO+99wIAXn31VXh5eWHq1Kmor69HcnIy1qxZI71frVZj27ZtmDdvHoxGI3r37o1Zs2ZhxYoVUkxsbCyys7OxYMECrF69GpGRkXj77beRnJzs9vH+LJ006v31t2lAUTifnCMiInIDxc3TpESyzdNkawb+MbzDvnMCKqh0EUDqMcBL7b68iIiIPEC3naeJ2nGdRr0qNuolIiJyGxZNSsZGvURERIrBoknJ2KiXiIhIMVg0KRkb9RIRESkGiyYl81IDE/7W+o1j4STs30/I5E3gREREbsCiSek6aNRb72tgo14iIiI3kr2NCjmhtVGvKP0Sz63LxfdNOvx13pPoH6aXOzMiIqIeg0WTp/BSwxJ0K/5fQw16eakQFRwgd0ZEREQ9CosmpbM1t8zDdKkCF6p94AWB6KAAeKt5ZZWIiMidWDQp2TU954YD2K8NwlbfpwGMkzMzIiKiHoenK5TK3nPumhnBDbiI359/sWU9ERERuQ2LJiWyNbecYULbtoBeKgBQATv+0BJHREREbsGiSYnYc46IiEhxWDQpEXvOERERKQ6LJiVizzkiIiLFYdGkROw5R0REpDgsmpSo055zrdhzjoiIyK1YNClVBz3najRh7DlHREQkA05uqWStPedQegCrP/4C5kpvPDxpGh6Ii5Y7MyIioh6HRZPSeamB2Dvx/uV6VNrqkR6ikzsjIiKiHomX5zzApfomVNbUAwD6BfeWORsiIqKeiUWTByg5fxkAEOyvgd7XW+ZsiIiIeiZenlMqW3PLjN+XKlBtUcMLvdA/2F/urIiIiHosFk1KVPRJS++51lYqvwKwXxuEnd4LARhlTY2IiKin4uU5pSn6BNg0s03vOQMuYsbZ51vWExERkduxaFISW3PLGaYfp7CUeNnnuNzxh5Y4IiIicisWTUpSeqDNGaarqSAA6/ctcURERORWLJqU5FKFa+OIiIjIZVg0KYl/mGvjiIiIyGVYNClJzO2ALgLXNun9kQrQ3dASR0RERG7FoklJvNTAhL+1fuNYOEm3hk/IbIkjIiIit2LRpDRxk4CH/gXowh0WX9KGtSyPmyRTYkRERD0bJ7dUorhJwJAUoPQAVn/8BcyV3nhk8jRMjouWOzMiIqIei0WTUnmpgdg7sbG2AeW2OizpGyB3RkRERD0aiyYluarfHPzDUH9DAizWOgBAdJCfzMkRERH1bCyalOKafnMAoPYPR5JqGvb1MqJvb42MyRERERFvBFeCDvrNqS9ZsNb7H3gkoAAqVUfTEBAREZE7yFo0ZWRk4NZbb0VAQABCQ0PxwAMPoLi42CFm3LhxUKlUDq+5c+c6xJSVlSElJQV+fn4IDQ3F4sWL0dTU5BCTl5eHUaNGQavVYuDAgcjKyurq4Tmnk35zqtZlpvq32W+OiIhIZrIWTXv37oXJZMLBgweRm5uLxsZGJCUl4fLlyw5xTzzxBMrLy6XXypUrpXXNzc1ISUlBQ0MDDhw4gPXr1yMrKwvLli2TYkpKSpCSkoK7774bBQUFSE1NxZw5c5CTk+O2sXboOv3mvFRA3+bz7DdHREQkM1nvadqxY4fD91lZWQgNDUV+fj7Gjh0rLffz84PBYGh3G59//jmKioqwc+dOhIWF4aabbsJLL72EtLQ0vPDCC9BoNHjzzTcRGxuLl19+GQAwdOhQ7N+/H6+++iqSk5O7boDOYL85IiIij6Coe5qqq6sBAEFBQQ7L33//fQQHB2P48OFIT0/HlStXpHVmsxnx8fEIC/uxH1tycjKsViuOHz8uxSQmJjpsMzk5GWazud086uvrYbVaHV5dhv3miIiIPIJinp6z2WxITU3FHXfcgeHDh0vLH330UcTExCAiIgJHjx5FWloaiouLsWXLFgCAxWJxKJgASN9bLJZOY6xWK2pra+Hr6+uwLiMjAy+++KLLx9gue785aznau6/JJoBm/wh4s98cERGRrBRTNJlMJhQWFmL//v0Oy5988knp6/j4eISHh2P8+PE4deoUBgwY0CW5pKenY+HChdL3VqsVUVFRXfKzpH5zm2aipd/cj4WTrfXL5uS/wpv95oiIiGSliMtz8+fPx7Zt27Bnzx5ERkZ2GpuQkAAAOHnyJADAYDCgosLxfh/79/b7oDqK0el0bc4yAYBWq4VOp3N4dakO+s1Z0Bdp6ufgM+I3XfvziYiI6LpkPdMkhMDTTz+NrVu3Ii8vD7Gxsdd9T0FBAQAgPLylwDAajfjLX/6CyspKhIaGAgByc3Oh0+kQFxcnxWzfvt1hO7m5uTAaja4czi9zVb85XKrAofO98MjnaoyICrr+e4mIiKjLyXqmyWQy4b333sOGDRsQEBAAi8UCi8WC2tpaAMCpU6fw0ksvIT8/H2fOnMEnn3yCmTNnYuzYsRgxYgQAICkpCXFxcZgxYwa++eYb5OTkYOnSpTCZTNBqtQCAuXPn4vTp01iyZAlOnDiBNWvWYNOmTViwYIFsY29Xa785xD+IAnU8bPBi+xQiIiKFkLVoWrt2LaqrqzFu3DiEh4dLrw8//BAAoNFosHPnTiQlJWHIkCFYtGgRpk6dik8//VTahlqtxrZt26BWq2E0GvHb3/4WM2fOxIoVK6SY2NhYZGdnIzc3FyNHjsTLL7+Mt99+W/7pBjpR8r+Wuapig3vLnAkREREBCrg815moqCjs3bv3utuJiYlpc/ntWuPGjcORI0d+Un5uc02jXsTcjtPnW4qm/iEsmoiIiJRAMU/P9VjtNOqFLgIxl6bjMG5G/2B/+XIjIiIiiSKenuuxOmjUK6zl+FvzKiR7HUa/YN7TREREpAQsmuTiRKPeFzX/RoCGu4iIiEgJeESWixONeg24wEa9RERECsGiSS5s1EtERORRWDTJhY16iYiIPAqLJrnYG/VC1e5qmwBqfcNb4oiIiEh2LJrkYm/UC+DawsneqLdq7IqWOCIiIpIdiyY5ddKo19SUir63PihTYkRERHQtTm4pt2sa9R63+uL+T22I6usPTS/WtERERErBokkJ7I16AXxzqAw2HGPPOSIiIoXhqQyFKfnfJQBg+xQiIiKF4ZkmObXTqLfkfy2NemPZqJeIiEhRWDTJpYNGvTc0zAQwAv15eY6IiEhReHlODp006l1em4lkr8O8p4mIiEhhWDS5mxONepd7/xsGf283J0ZERESdYdHkbk406o1QXYDXWbMbkyIiIqLrYdHkbmzUS0RE5JFYNLkbG/USERF5JBZN7uZEo94rPgY26iUiIlIYFk3u1lmj3tb/Wm5/gY16iYiIFIZFkxw6atQr+mJeYyqCbpkqU2JERETUEU5uKZdrGvWW1Ptj/P81IrC3DwL9NHJnR0RERNdg0SSnqxr1Hj96DjYc4aSWRERECsXLcwpx+nxrzzkWTURERIrEokkhpEa9LJqIiIgUiUWTQpxuLZrYqJeIiEiZWDQpgBACJecvAQBiQ1g0ERERKRGLJgWoutIIa10TAKBfXxZNRERESsSiSQHOXGi5NGfQ+cDHm5NaEhERKRGLJgUovXAFABDT10/mTIiIiKgjLJoUwF408dIcERGRcrFoUoDS1stz0TzTREREpFgsmhTAfk8TzzQREREpF4smBeA9TURERMrHoklmNXWNuHC5AQCLJiIiIiWTtWjKyMjArbfeioCAAISGhuKBBx5AcXGxQ0xdXR1MJhP69u0Lf39/TJ06FRUVFQ4xZWVlSElJgZ+fH0JDQ7F48WI0NTU5xOTl5WHUqFHQarUYOHAgsrKyunp4TrGfZQr21yDAx1vmbIiIiKgjshZNe/fuhclkwsGDB5Gbm4vGxkYkJSXh8uXLUsyCBQvw6aefYvPmzdi7dy/OnTuHKVOmSOubm5uRkpKChoYGHDhwAOvXr0dWVhaWLVsmxZSUlCAlJQV33303CgoKkJqaijlz5iAnJ8et422PvWiKDuJZJiIiIiVTCSGE3EnYnT9/HqGhodi7dy/Gjh2L6upqhISEYMOGDXjwwQcBACdOnMDQoUNhNpsxZswYfPbZZ7jvvvtw7tw5hIWFAQDefPNNpKWl4fz589BoNEhLS0N2djYKCwuln/Xwww+jqqoKO3bsuG5eVqsVer0e1dXV0Ol0Lh3zG3tOYlVOMabcfANemXaTS7dNRETUk7n6+K2oe5qqq6sBAEFBQQCA/Px8NDY2IjExUYoZMmQIoqOjYTabAQBmsxnx8fFSwQQAycnJsFqtOH78uBRz9TbsMfZtXKu+vh5Wq9Xh1VXs0w3E8Mk5IiIiRVNM0WSz2ZCamoo77rgDw4cPBwBYLBZoNBoEBgY6xIaFhcFisUgxVxdM9vX2dZ3FWK1W1NbWtsklIyMDer1eekVFRblmkO2QJrYM5uU5IiIiJVNM0WQymVBYWIiNGzfKnQrS09NRXV0tvc6ePdtlP+vH6QZ4pomIiEjJesmdAADMnz8f27Ztw759+xAZGSktNxgMaGhoQFVVlcPZpoqKChgMBinm8OHDDtuzP113dcy1T9xVVFRAp9PB19e3TT5arRZardY1g+tEbUMzLNY6AEAMbwQnIiJSNFnPNAkhMH/+fGzduhW7d+9GbGysw/rRo0fD29sbu3btkpYVFxejrKwMRqMRAGA0GnHs2DFUVlZKMbm5udDpdIiLi5Nirt6GPca+DbmUXWw5y6Tz6YVAP043QEREpGSynmkymUzYsGEDPv74YwQEBEj3IOn1evj6+kKv1+Pxxx/HwoULERQUBJ1Oh6effhpGoxFjxowBACQlJSEuLg4zZszAypUrYbFYsHTpUphMJuls0dy5c/H6669jyZIleOyxx7B7925s2rQJ2dnZso0dAC5ebkCgnzeig/ygUqlkzYWIiIg6J+uUAx0VCuvWrcPs2bMBtExuuWjRInzwwQeor69HcnIy1qxZI116A4DS0lLMmzcPeXl56N27N2bNmoXMzEz06vVjTZiXl4cFCxagqKgIkZGReP7556WfcT1dOeUAANQ1NsPHW+3y7RIREfVkrj5+K2qeJqXq6qKJiIiIXK9bz9NEREREpFQsmoiIiIicwKKJiIiIyAksmoiIiIicwKKJiIiIyAksmoiIiIicwKKJiIiIyAksmoiIiIicwKKJiIiIyAksmoiIiIicwKKJiIiIyAksmoiIiIicwKKJiIiIyAm95E7AEwghALR0SyYiIiLPYD9u24/jvxSLJifU1NQAAKKiomTOhIiIiH6qmpoa6PX6X7wdlXBV+dWN2Ww2nDt3DgEBAVCpVC7dttVqRVRUFM6ePQudTufSbStFTxgjwHF2Jz1hjADH2Z30hDECP32cQgjU1NQgIiICXl6//I4knmlygpeXFyIjI7v0Z+h0um79iw70jDECHGd30hPGCHCc3UlPGCPw08bpijNMdrwRnIiIiMgJLJqIiIiInKB+4YUXXpA7iZ5OrVZj3Lhx6NWr+14t7QljBDjO7qQnjBHgOLuTnjBGQN5x8kZwIiIiIifw8hwRERGRE1g0ERERETmBRRMRERGRE1g0ERERETmBRZOM3njjDfTr1w8+Pj5ISEjA4cOH5U6pQxkZGbj11lsREBCA0NBQPPDAAyguLnaIGTduHFQqlcNr7ty5DjFlZWVISUmBn58fQkNDsXjxYjQ1NTnE5OXlYdSoUdBqtRg4cCCysrK6eniSF154oc0YhgwZIq2vq6uDyWRC37594e/vj6lTp6KiosJhG0ofY79+/dqMUaVSwWQyAfDc/bhv3z7cf//9iIiIgEqlwkcffeSwXgiBZcuWITw8HL6+vkhMTMR3333nEHPx4kVMnz4dOp0OgYGBePzxx3Hp0iWHmKNHj+LOO++Ej48PoqKisHLlyja5bN68GUOGDIGPjw/i4+Oxfft2t4yzsbERaWlpiI+PR+/evREREYGZM2fi3LlzDtto73cgMzNTMeO83r6cPXt2m/wnTJjgEOPp+xJAu3+nKpUKq1atkmKUvi+dOXa483P1Fx93Bcli48aNQqPRiHfffVccP35cPPHEEyIwMFBUVFTInVq7kpOTxbp160RhYaEoKCgQv/71r0V0dLS4dOmSFHPXXXeJJ554QpSXl0uv6upqaX1TU5MYPny4SExMFEeOHBHbt28XwcHBIj09XYo5ffq08PPzEwsXLhRFRUXitddeE2q1WuzYscMt41y+fLkYNmyYwxjOnz8vrZ87d66IiooSu3btEl9//bUYM2aMuP322z1qjJWVlQ7jy83NFQDEnj17hBCeux+3b98u/vSnP4ktW7YIAGLr1q0O6zMzM4VerxcfffSR+Oabb8SkSZNEbGysqK2tlWImTJggRo4cKQ4ePCi++OILMXDgQPHII49I66urq0VYWJiYPn26KCwsFB988IHw9fUVb731lhTz5ZdfCrVaLVauXCmKiorE0qVLhbe3tzh27FiXj7OqqkokJiaKDz/8UJw4cUKYzWZx2223idGjRztsIyYmRqxYscJhH1/9tyz3OK+3L2fNmiUmTJjgkP/FixcdYjx9XwohHMZXXl4u3n33XaFSqcSpU6ekGKXvS2eOHe76XHXFcZdFk0xuu+02YTKZpO+bm5tFRESEyMjIkDEr51VWVgoAYu/evdKyu+66Szz77LMdvmf79u3Cy8tLjBsZBAAAC7BJREFUWCwWadnatWuFTqcT9fX1QgghlixZIoYNG+bwvmnTponk5GQXj6B9y5cvFyNHjmx3XVVVlfD29habN2+Wln377bcCgDCbzUIIzxjjtZ599lkxYMAAYbPZhBDdYz9eewCy2WzCYDCIVatWScuqqqqEVqsVH3zwgRBCiKKiIgFAfPXVV1LMZ599JlQqlfj++++FEEKsWbNG9OnTRxqnEEKkpaWJwYMHS98/9NBDIiUlxSGfhIQE8dRTT7l2kKLtONtz+PBhAUCUlpZKy2JiYsSrr77a4XuUNM6OiqbJkyd3+J7uui8nT54s7rnnHodlnrQvhWh77HDn56orjru8PCeDhoYG5OfnIzExUVrm5eWFxMREmM1mGTNzXnV1NQAgKCjIYfn777+P4OBgDB8+HOnp6bhy5Yq0zmw2Iz4+HmFhYdKy5ORkWK1WHD9+XIq5+t/FHuPOf5fvvvsOERER6N+/P6ZPn46ysjIAQH5+PhobGx3yGzJkCKKjo6X8PGWMdg0NDXjvvffw2GOPOTSj7g778WolJSWwWCwOOen1eiQkJDjsu8DAQNxyyy1STGJiIry8vHDo0CEpZuzYsdBoNFJMcnIyiouL8cMPP0gxShp7dXU1VCoVAgMDHZZnZmaib9++uPnmm7Fq1SqHSx2eMM68vDyEhoZi8ODBmDdvHi5cuOCQf3fblxUVFcjOzsbjjz/eZp0n7ctrjx3u+lx11XG3e08bqlD/+9//0Nzc7PALAABhYWE4ceKETFk5z2azITU1FXfccQeGDx8uLX/00UcRExODiIgIHD16FGlpaSguLsaWLVsAABaLpd0x29d1FmO1WlFbWwtfX9+uHBoSEhKQlZWFwYMHo7y8HC+++CLuvPNOFBYWwmKxQKPRtDn4hIWFXTd/+7rOYtw1xqt99NFHqKqqwuzZs6Vl3WE/XsueV3s5XZ1zaGiow/pevXohKCjIISY2NrbNNuzr+vTp0+HY7dtwp7q6OqSlpeGRRx5xaG76zDPPYNSoUQgKCsKBAweQnp6O8vJyvPLKKwCUP84JEyZgypQpiI2NxalTp/DHP/4REydOhNlshlqt7pb7cv369QgICMCUKVMclnvSvmzv2OGuz9UffvjBJcddFk30k5lMJhQWFmL//v0Oy5988knp6/j4eISHh2P8+PE4deoUBgwY4O40f5aJEydKX48YMQIJCQmIiYnBpk2b3H6gd4d33nkHEydOREREhLSsO+xHarkp/KGHHoIQAmvXrnVYt3DhQunrESNGQKPR4KmnnkJGRga0Wq27U/3JHn74Yenr+Ph4jBgxAgMGDEBeXh7Gjx8vY2Zd591338X06dPh4+PjsNyT9mVHxw5PwstzMggODoZarW7zdEBFRQUMBoNMWTln/vz52LZtG/bs2YPIyMhOYxMSEgAAJ0+eBAAYDIZ2x2xf11mMTqeTpWgJDAzEoEGDcPLkSRgMBjQ0NKCqqqpNftfL376usxh3j7G0tBQ7d+7EnDlzOo3rDvvRnldnf3MGgwGVlZUO65uamnDx4kWX7F93/m3bC6bS0lLk5uY6nGVqT0JCApqamnDmzBkAnjNOu/79+yM4ONjhd7S77EsA+OKLL1BcXHzdv1VAufuyo2OHuz5XXXXcZdEkA41Gg9GjR2PXrl3SMpvNhl27dsFoNMqYWceEEJg/fz62bt2K3bt3tznd256CggIAQHh4OADAaDTi2LFjDh9m9g/0uLg4Kebqfxd7jFz/LpcuXcKpU6cQHh6O0aNHw9vb2yG/4uJilJWVSfl50hjXrVuH0NBQpKSkdBrXHfZjbGwsDAaDQ05WqxWHDh1y2HdVVVXIz8+XYnbv3g2bzSYVjkajEfv27UNjY6MUk5ubi8GDB6NPnz5SjJxjtxdM3333HXbu3Im+ffte9z0FBQXw8vKSLml5wjiv9t///hcXLlxw+B3tDvvS7p133sHo0aMxcuTI68YqbV9e79jhrs9Vlx13nb5lnFxq48aNQqvViqysLFFUVCSefPJJERgY6PB0gJLMmzdP6PV6kZeX5/Bo65UrV4QQQpw8eVKsWLFCfP3116KkpER8/PHHon///mLs2LHSNuyPjSYlJYmCggKxY8cOERIS0u5jo4sXLxbffvuteOONN9z6OP6iRYtEXl6eKCkpEV9++aVITEwUwcHBorKyUgjR8mhsdHS02L17t/j666+F0WgURqPRo8YoRMtTI9HR0SItLc1huSfvx5qaGnHkyBFx5MgRAUC88sor4siRI9JTY5mZmSIwMFB8/PHH4ujRo2Ly5MntTjlw8803i0OHDon9+/eLG2+80eEx9aqqKhEWFiZmzJghCgsLxcaNG4Wfn1+bx7d79eol/v73v4tvv/1WLF++3KWPqXc2zoaGBjFp0iQRGRkpCgoKHP5W7U8ZHThwQLz66quioKBAnDp1Srz33nsiJCREzJw5UzHj7GyMNTU14rnnnhNms1mUlJSInTt3ilGjRokbb7xR1NXVSdvw9H1pV11dLfz8/MTatWvbvN8T9uX1jh1CuO9z1RXHXRZNMnrttddEdHS00Gg04rbbbhMHDx6UO6UOAWj3tW7dOiGEEGVlZWLs2LEiKChIaLVaMXDgQLF48WKH+X2EEOLMmTNi4sSJwtfXVwQHB4tFixaJxsZGh5g9e/aIm266SWg0GtG/f3/pZ7jDtGnTRHh4uNBoNOKGG24Q06ZNEydPnpTW19bWit///veiT58+ws/PT/zmN78R5eXlDttQ+hiFECInJ0cAEMXFxQ7LPXk/7tmzp93f0VmzZgkhWqYdeP7550VYWJjQarVi/PjxbcZ/4cIF8cgjjwh/f3+h0+nE7373O1FTU+MQ880334hf/epXQqvVihtuuEFkZma2yWXTpk1i0KBBQqPRiGHDhons7Gy3jLOkpKTDv1X7PFz5+fkiISFB6PV64ePjI4YOHSr++te/OhQcco+zszFeuXJFJCUliZCQEOHt7S1iYmLEE0880ebA5+n70u6tt94Svr6+oqqqqs37PWFfXu/YIYR7P1d/6XFX1TooIiIiIuoE72kiIiIicgKLJiIiIiInsGgiIiIicgKLJiIiIiInsGgiIiIicgKLJiIiIiInsGgiIiIicgKLJiIiIiInsGgioh6pX79+UKlUUKlUbZqFtufMmTNS/E033eSGDIlIaVg0EVG3Mm7cOKSmpjoVu2LFCpSXl0Ov1183NioqCuXl5Vi0aNEvTZGIPFQvuRMgIpJLQEAADAaDU7FqtRoGgwH+/v5dnBURKRXPNBFRtzF79mzs3bsXq1evli6lnTlzxun3l5aW4v7770efPn3Qu3dvDBs2DNu3b++6hInIo/BMExF1G6tXr8Z//vMfDB8+HCtWrAAAhISEOP1+k8mEhoYG7Nu3D71790ZRURHPLBGRhEUTEXUber0eGo0Gfn5+Tl92u1pZWRmmTp2K+Ph4AED//v1dnSIReTBeniMiavXMM8/gz3/+M+644w4sX74cR48elTslIlIQFk1ERK3mzJmD06dPY8aMGTh27BhuueUWvPbaa3KnRUQKwaKJiLoVjUaD5ubmn/3+qKgozJ07F1u2bMGiRYvwz3/+04XZEZEn4z1NRNSt9OvXD4cOHcKZM2fg7++PoKAgeHk59/+HqampmDhxIgYNGoQffvgBe/bswdChQ7s4YyLyFDzTRETdynPPPQe1Wo24uDiEhISgrKzM6fc2NzfDZDJh6NChmDBhAgYNGoQ1a9Z0YbZE5El4pomIupVBgwbBbDb/rPfy/iUi6oxKCCHkToKIyN369euH8vJyeHt74/vvv79uK5WysjLExcWhoaEBcXFxKCgocFOmRKQULJqIqEcqLS1FY2MjgJb5mK5331NTU5M0u7hWq0VUVFRXp0hECsOiiYiIiMgJvBGciIiIyAksmoiIiIicwKKJiIiIyAksmoiIiIicwKKJiIiIyAksmoiIiIicwKKJiIiIyAksmoiIiIic8P8B/AFms1nmSE8AAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAG0CAYAAADacZikAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3Xt8k+X9P/7XnbRJ6ZlSmh4stJSTQKEca5kKrJ1F3SYf3egcWqgOFcGBnRPrgYJ8XB0MxCkfkaM4neIB8fsbWIedOIVOEAbIwXKUAiVpCzahLSQ0uX5/JL0l9JTSNHeavJ6PRx6QO9d957qbyv3yuq7cb0kIIUBERETkR1RKd4CIiIjI0xiAiIiIyO8wABEREZHfYQAiIiIiv8MARERERH6HAYiIiIj8DgMQERER+R0GICIiIvI7DEBERETkdxiAiIiIyO8wABEREZHfCVC6A55ms9lQUVGBsLAwSJKkdHeIiIjIBUIIXLx4EfHx8VCpOj5+43cBqKKiAomJiUp3g4iIiK7D6dOnccMNN3T4OH4XgMLCwgDYf4Dh4eEK94aIiIhcYTKZkJiYKF/HO8rvAlDjtFd4eDgDEBERURfjruUrXARNREREfocBiIiIiPwOAxARERH5HQYgIiIi8jsMQEREROR3GICIiIjI7zAAERERkd9hACIiIiK/wwBEREREfocBiIiIiPwOAxARERH5HQYgIiIi8jt+VwyViIioSzCeAeqqgdpK4HINUH8BMF8ELhuBK/VAYAgAAUBq+mdQuL1dc69BtL2/C21sELCa6yACg2ETAjYbYNWEoSEwFFJwFCK7xwChPe3nEtITiEjwyI/NVQxARETkXa698APOF/9OuJi7rY0LwUMEhqDBJmCDgLAJWAVgs9lgE4BVCMBSjwZJgx5lf4e6ob7TfswdpUI7ppFCY4A5B4AAbSf2qH0YgIiIfE1jgACaHz1w48Xc7aHCZgX2rAeu1HX6j0kpEoBApTvhUSogPAFQa5TuiBMGICKi69XSFAXQseDQkeDhBwGCuhob8NNnAUlSuiNOGICIyLd4at0EgwZR2yQ1EDcUSMlUuidNMAARked01ohJYxu1lqGEyJsIq1eO/gAMQETkio6MqjCcEPknLx79ARiAiPxDR0ZeGFyIFKYCYFO6E+3nxaM/AAMQUdfAAEPkx2xAjxTg/HEgsBtw5VLTP+PS7EGj4r/te60z28QP99rRH4ABiEg5rk4rcbEtkfIXcyWDR/xwILMQ+GQukPZbYO/fm/6ZNd/+c2quTWuvdWabzEKvHf0BAEkIIZTuhCeZTCZERETAaDQiPDxc6e6Qr2or3HBUhjzNWy7m7W3TIwWQAn68wN7+Z/v5tHYR9pY27nyPlAme+T3xYu6+fjMAEbWHKzeY0wQDO15huFGcQusmvG0UoTFAeNPFvD1tePEnBwagDmIAoha1FW44FeWkcaXR9fFQOPHkuolrRyq8ZRSBAYJ8BANQBzEAUbPTU5d+8LtRm2uXTLvGjcGlpXDiyXUT7gweDBpEnYoBqIMYgPxES2twbA0+E3Sau+sO0FaocUOA6cioiivhhOsmiKgZDEAdxADkg66duqqrAoqfAswmZft1HVq5lSCAjkw5XaUjIy8dHVVhOCGi68QA1EEMQF1US+tzutDUVcvhRgXpekZllBp5YXAhIgUwAHUQA1AXcfUUlpeP6AhHkulQuGnPtFJHF9sywBBRF+STAWj58uVYvHgx9Ho9hg0bhldeeQVjxoxptu348ePxxRdfNNl+xx13YPPmzW2+FwOQF/LiKazG/zok6XoXDaPtcNPeaSWGGCLyQz4XgDZs2IDc3FysWLEC6enpWLZsGd5//32UlZUhJiamSfsLFy7AYrHIz8+fP49hw4Zh9erVmDZtWpvvxwDkRYxnAFMF8PfJ9qksBQnhHHLapbWpJ1fDDQMNEVGrfC4ApaenY/To0Xj11VcBADabDYmJiXjsscfw1FNPtbn/smXLMG/ePJw7dw4hISFttmcAUpDC01rXhhwbJKjQxq9/R28wx3BDROQW7r5+K1oLzGKxYPfu3SgoKJC3qVQqZGVlobS01KVjrFmzBr/5zW9cCj+kgMbQY7V4dKTn6qmrRo1/b9ykgmh5eqox3GTNtzd2JdzM2mn/8+Y5zn8SEZHXUTQAVVdXw2q1QqfTOW3X6XT47rvv2tx/586dOHDgANasWdNiG7PZDLPZLD83mZRfV+LTPDjK47Q+RzQfdpy09xtRDDdERD6rS1eDX7NmDVJTU1tcMA0ARUVFWLBggQd75ac8sJ6ntZDTJPC48q2pzEJ7yGG4ISLyO4oGoOjoaKjVahgMBqftBoMBsbGxre5bV1eHd999F88//3yr7QoKCpCfny8/N5lMSExMvP5O0486cXqrtSksWXPrc5qburp6NIchh4iIoHAA0mg0GDlyJEpKSjBp0iQA9kXQJSUlmDVrVqv7vv/++zCbzbjvvvtabafVaqHVat3WZ4JHRntancJqbX1OS1NXREREV1F8Ciw/Px9Tp07FqFGjMGbMGCxbtgx1dXXIy8sDAOTm5iIhIQFFRUVO+61ZswaTJk1Cjx49lOi2f+qE4HPttJastSmsttbnEBERtUHxAJSTk4OqqirMmzcPer0eaWlpKC4ulhdGl5eXQ6VSOe1TVlaGr776Cv/85z+V6LJ/6YRpLqsA1I3fyLo2/Lg6hUVERNQBit8HyNN4HyAXuXG0p9lRnmu/fn71PXV43xwiIrqGT90HiLxQJ0xzNQk/zX39nMGHiIg8iAGI7NwUfK6e3pJdO8rT0tfPiYiIPIQBiIAGM7ByAlBX2eFDqSX8OL3V1uJlIiIihTAAEaDWABEJjorsto4d6+rpLS5eJiIiL6Vquwn5PEkCfvosXA0/zbbqkQJED3Ce3uJoDxEReSmOAJFdSqZ99ObcfkBYW22qAppOc3F6i4iIuhCOAJFd4yhQG+EHgD0o3bHEPuJzxxKO9hARUZfDESD6UUom9KGDEH3xOwRIzUx0tfQtLiIioi6GAcifNd7l2UFA4B3zT/C4dMi5Hae5iIjIxzAA+atmvvouAXj86jaSCohKAe5YzOBDREQ+hQHIX7ny1feoZGDWrhaqlRIREXVdXATtr1z56vvtixh+iIjIJzEA+bPGr75LaqfNQlLbt6dkKtQxIiKizsUA5M9a+Oq7JKz27Rz9ISIiH8UA5O8co0BWx6+CTVJx9IeIiHweA5C/kyQ0jH8GasdaIJWwcfSHiIh8HgMQ4fuIdOyz9QEACI7+EBGRH2AAIhyprMOihhycVidCyizk6A8REfk8BiDCUUMttttS8fLAt3nDQyIi8gsMQIQjlRcBAP11oQr3hIiIyDMYgAjHDLUAgH4xYQr3hIiIyDNYCsMfXVUE9YpNIKj6WwyWBAZJPYCKCiCkp71MBhERkY9iAPI31xRBDQTwcaDjtXccf4bGAHMOAAFaJXpIRETU6TgF5m8ai6C2+NGrgPAEezsiIiIfxQDkb9osgsobIRIRke9jAPJHLRRBBYugEhGRn2AA8kctFEEFi6ASEZGfYADyVymZEHHD0SDsvwKCoz9ERORHGID8lSTh3KgnECDZ1wJJHP0hIiI/wgDkx/ZrRshFUDn6Q0RE/oQByI8ddRRB1Wt6AyyCSkREfoQByI8dqbQXQd30k49YBJWIiPwKA5AfO2pgEVQiIvJPDEB+qsFqw4mqOgAsgkpERP5H8QC0fPlyJCUlISgoCOnp6di5c2er7WtqajBz5kzExcVBq9Wif//+2LJli4d66zvKL9TDYrWhW6AaCZHdlO4OERGRRylaDHXDhg3Iz8/HihUrkJ6ejmXLliE7OxtlZWWIiYlp0t5iseBnP/sZYmJi8MEHHyAhIQGnTp1CZGSkAr3v2o4YagEAfWNCoVJx8TMREfkXRQPQ0qVLMX36dOTl5QEAVqxYgc2bN2Pt2rV46qmnmrRfu3YtLly4gB07diAw0F7CPCkpyZNd7tqMZ4C6avtfj5/GYOkUxofHABV77a+H9HQUSiUiIvJtkhBCKPHGFosFwcHB+OCDDzBp0iR5+9SpU1FTU4OPP/64yT533HEHoqKiEBwcjI8//hg9e/bEb3/7W8ydOxdqtbpJ++aYTCZERETAaDQiPDzcbefj9RrMwEtDgLrKltuExgBzDgABWs/1i4iIyAXuvn4rNgJUXV0Nq9UKnU7ntF2n0+G7775rdp8TJ07gX//6F6ZMmYItW7bg2LFjePTRR3HlyhUUFhY2u4/ZbIbZbJafm0wm951EV6LW2Ed36qrRfCV4FRCeYG9HRETk4xRfBN0eNpsNMTExWLlyJUaOHImcnBw888wzWLFiRYv7FBUVISIiQn4kJiZ6sMdepLEAarPhB/btLIVBRER+QrEAFB0dDbVaDYPB4LTdYDAgNja22X3i4uLQv39/p+muG2+8EXq9HhaLpdl9CgoKYDQa5cfp06fddxJdTUomED/cXvj0aiyESkREfkaxAKTRaDBy5EiUlJTI22w2G0pKSpCRkdHsPj/5yU9w7Ngx2Gw/jmIcOXIEcXFx0Gian7rRarUIDw93evgtxyiQJKzO21kIlYiI/IyiU2D5+flYtWoV1q9fj8OHD2PGjBmoq6uTvxWWm5uLgoICuf2MGTNw4cIFzJ49G0eOHMHmzZvxpz/9CTNnzlTqFLqelExUhg1Gg3B89Bz9ISIiP6To1+BzcnJQVVWFefPmQa/XIy0tDcXFxfLC6PLycqhUP2a0xMREfPrpp3j88ccxdOhQJCQkYPbs2Zg7d65Sp9D1SBL+Ef0AHrj4B/tzjv4QEZEfUuxr8Erx26/BXyVnxQ48XTETw1Qn7KM/0z9nACIiIq/m7ut3l/oWGLnHyfP1WNSQg8uRfYHMQoYfIiLyO4pOgZHnXbx8BZUXzahEKq488gcEBQUq3SUiIiKP4wiQnzlZba8A3zNMizCGHyIi8lMMQH6mMQAlR4co3BMiIiLlMAD5meNV9gCU0pMBiIiI/BfXAPmDq6rAW05/h8FSNUZpBVDhuKEkq8ATEZGf4dfgfR2rwBMRkQ/g1+CpfRqrwLf4UbMKPBER+R8GIF/HKvBERERNMAD5A7kK/DUfN+uAERGRn2IA8gdyFfhrRoFYB4yIiPwUA5C/SMnE2W4DWQWeiIgIDED+Q5Lwt+D7ESA5RoE4+kNERH6MAciPfFAzAPtsfexPOPpDRER+jAHIT/xQZ0F1nQWLGnJg69GfVeCJiMiv8U7QfuJoZS0A4PvwMVA99pTCvSEiIlIWR4D8xBHDRQBAf12owj0hIiJSHgOQnzjmGAHqpwtTuCdERETKYwDyE40jQP1iOAJERETENUC+6qoK8ACgMuzHYMmCoepwoOI8K8ATEZFfYwDyRQ1mYOUEpwrwbwGAFsDHjg2sAE9ERH6MU2C+iBXgiYiIWsUA5ItYAZ6IiKhVDEC+ylEBHpLaeTtrgBERETEA+azGUSBhdd7OGmBEREQMQD7NMQpkdXzMgqM/REREABiAfJskoe4nBVA71gJJHP0hIiICwADk8w4Fj2IFeCIiomswAPm4o5V1WNSQg7MBvVgBnoiIyIEByMcdMVzEdlsq3hi+AUiZoHR3iIiIvAIDkI+Ti6DGsAgqERFRIwYgHycXQdWxCCoREVEjBiAfZqy/gsqLZgBAX1aBJyIikjEA+bCjlfbRn/iIIIQFBSrcGyIiIu/BavC+xngGqKsGAFQf1WOwdBIjuncHKvbaXw/p6SiUSkRE5L+8IgAtX74cixcvhl6vx7Bhw/DKK69gzJgxzbZ94403kJeX57RNq9Xi8uXLnuiqd2swAysnAHWVAICJACZqAegBrHS0CY0B5hwAArQKdZKIiEh5ik+BbdiwAfn5+SgsLMSePXswbNgwZGdno7KyssV9wsPDce7cOflx6tQpD/bYi6k1jtGdlj5WFRCeYG9HRETkxxQPQEuXLsX06dORl5eHQYMGYcWKFQgODsbatWtb3EeSJMTGxsoPnU7nwR57scYCqI7SF03ZWAqDiIgICgcgi8WC3bt3IysrS96mUqmQlZWF0tLSFverra1F7969kZiYiLvuugsHDx5ssa3ZbIbJZHJ6+DRHAVQhqZ23sxAqERGRTNEAVF1dDavV2mQER6fTQa/XN7vPgAEDsHbtWnz88cd46623YLPZMHbsWJw5c6bZ9kVFRYiIiJAfiYmJbj8Pr+IYBZKE1Xk7C6ESERHJFJ8Ca6+MjAzk5uYiLS0N48aNw8aNG9GzZ0+8/vrrzbYvKCiA0WiUH6dPn/ZwjxWQkokfIoegQTg+Xo7+EBEROVE0AEVHR0OtVsNgMDhtNxgMiI2NdekYgYGBGD58OI4dO9bs61qtFuHh4U4PnydJ+Ff8QwiQHGuBOPpDRETkRNEApNFoMHLkSJSUlMjbbDYbSkpKkJGR4dIxrFYrvv32W8TFxXVWN7ukz68MwT5bH/sTjv4QERE5UXwKLD8/H6tWrcL69etx+PBhzJgxA3V1dfK9fnJzc1FQUCC3f/755/HPf/4TJ06cwJ49e3Dffffh1KlT+N3vfqfUKXilk+frsaghB7XhKUBmIUd/iIiIrqL4jRBzcnJQVVWFefPmQa/XIy0tDcXFxfLC6PLycqhUP+a0H374AdOnT4der0f37t0xcuRI7NixA4MGDVLqFLyOEAInq+tQb0uF4f5ZCO3JOmBERERXk4QQQulOeJLJZEJERASMRqPPrgfSGy/jpqISqFUSDj8/EZoAxQf6iIiIOsTd129eGX3QiapaAECvqGCGHyIiomYoPgVGbnJVEdQfjp/DYOkkRodFsQgqERFRMxiAfME1RVDvBHCnFsA5sAgqERFRMzg/4gtYBJWIiKhdGIB8AYugEhERtQsDkK9gEVQiIiKXMQD5ChZBJSIichkDkC9JyURNdxZBJSIiagsDkC+RJGxLeJhFUImIiNrAAORjPjMPZhFUIiKiNjAA+ZhjVXVY1JCDOhZBJSIiahFvhOhDGqw2nKiqw3e2VFyY9nuERAUr3SUiIiKvxBEgH3LqQj0sVhu6BaqRENlN6e4QERF5LQYgH3LUcBEA0DcmFCoVp76IiIhawgDkQ44a7FXg++lCFe4JERGRd+MaoK7uqirw9eVlGCxVIaObACocr7MKPBERUROSEEIo3QlPMplMiIiIgNFoRHh4uNLd6ZgGM/DSELkKfLNYBZ6IiHyAu6/fnALrylgFnoiI6LowAHVlrAJPRER0XRiAujpHFXibdM1HyTpgRERELWIA6uoco0Aqcc0oEOuAERERtYgByBekZOKUdgCrwBMREbmIAcgXSBJWBv6WVeCJiIhcxADkA6w2gfdr+rMKPBERkYsYgHxA+YV6WBoElol7IaIHsAo8ERFRG3gnaB9wxFEDrLJnBqRZTyrcGyIiIu/HESAfcKzSXgOsvy5M4Z4QERF1DQxAPuDIVVXgiYiIqG0MQD6gsQo8R4CIiIhcwzVAXdFVFeCtQkBb9S0GSzYMRhRQcY4V4ImIiNrAANTVNJiBlRPkCvBqAB8FwP5JvudowwrwREREreIUWFfDCvBEREQdxgDU1bACPBERUYcxAHVFjgrwkNTO21kDjIiIyCVeEYCWL1+OpKQkBAUFIT09HTt37nRpv3fffReSJGHSpEmd3EMv0zgKJKzO21kDjIiIyCWKB6ANGzYgPz8fhYWF2LNnD4YNG4bs7GxUVla2ut/333+PJ554ArfccouHeuplUjIh4ofLFeAFR3+IiIhcpngAWrp0KaZPn468vDwMGjQIK1asQHBwMNauXdviPlarFVOmTMGCBQvQp08fD/bWi0gSam6aK1eAlzj6Q0RE5DKXvgZ/9913t/vAK1asQExMTKttLBYLdu/ejYKCAnmbSqVCVlYWSktLW9zv+eefR0xMDB588EF8+eWXrb6H2WyG2WyWn5tMJhfPwPsdDh6FEFsfDFOd4OgPERFRO7g0ArRp0yZoNBpERES49Ni8eTNqa2vbPG51dTWsVit0Op3Tdp1OB71e3+w+X331FdasWYNVq1a50nUUFRU59S0xMdGl/bqCk+frsaghB2cDe7ECPBERUTu4fCPEv/71r22O6DT64IMPrrtDrbl48SLuv/9+rFq1CtHR0S7tU1BQgPz8fPm5yWTymRB0oqoO222pWDtsA55LGaR0d4iIiLoMlwLQ559/jqioKJcP+sknnyAhoe1SDNHR0VCr1TAYDE7bDQYDYmNjm7Q/fvw4vv/+e/ziF7+Qt9ls9jUwAQEBKCsrQ0pKitM+Wq0WWq1v3hH5RJV9lK1PzxCFe0JERNS1uDQFNm7cOAQEuF414+abb3YpdGg0GowcORIlJSXyNpvNhpKSEmRkZDRpP3DgQHz77bfYu3ev/PjlL3+JCRMmYO/evT4zsuOqk9V1AIDkaAYgIiKi9uhQLbA777wTq1evRlxc3HUfIz8/H1OnTsWoUaMwZswYLFu2DHV1dcjLywMA5ObmIiEhAUVFRQgKCsKQIUOc9o+MjASAJtt9naXBhtM/XAIApPQMVbg3REREXUuHAtC///1vXLp0qUMdyMnJQVVVFebNmwe9Xo+0tDQUFxfLC6PLy8uhUin+bX2vU36hDlabQIhGjZgw35ziIyIi6iySEEJc785hYWHYt29fl7oXj8lkQkREBIxGI8LDw5XuTvsYzwB11QCA0hPn8b+bD6NvTAhezhlufz2kp6NQKhERkW9x9/W7QyNAvXv3RmBgYIc7QS5oMAMrJwB19jtkZwDYrAVgBLDS0SY0BphzAAjgiBAREVFrOhSADhw44K5+UFvUGvvoTl01mq8ErwLCE+ztiIiIqFUuLa7Zv3+//HVzVxw8eBANDQ3X3SlqRmMB1GbDD+zbWQqDiIjIJS4FoOHDh+P8+fMuHzQjIwPl5eXX3SlqQUqmveSFpHbezkKoRERE7eLSFJgQAs899xyCg4NdOqjFYulQp6gFjaNAb93jvJ2FUImIiNrFpQB06623oqyszOWDZmRkoFu3btfdKWpFSiZqewxFUPUBeyV4SQ3EDeXoDxERUTu4FIC2bdvWyd0gl0kSdiU/ignnH7E/5+gPERFRu/EOg13QF9ZU7LM57r3EtT9ERETtxgDUBR2rqsOihhwYQ/sAmYUc/SEiImqnDt0HiJRxxHARlbZUnJj8MIb36q50d4iIiLocjgB1Mcb6K6i8aAYA9I1hEVQiIqLr4dYA1NHCqNS2o5UXAQDxEUEIC2IZEiIiouvhlgBkNpuxZMkSJCcnu+Nw1IqjlbUAgL66MIV7QkRE1HW5HIDMZjMKCgowatQojB07Fps2bQIArFu3DsnJyVi2bBkef/zxTuuoXzOeASr2AhV7YTr5DQZLJ3FryFl5G4xnle4hERFRlyIJIYQrDefOnYvXX38dWVlZ2LFjB6qqqpCXl4f//Oc/ePrpp/HrX/8aarW67QMpzGQyISIiAkajEeHh4Up3p20NZuClIXIV+GaxCjwREfk4d1+/Xf4W2Pvvv48333wTv/zlL3HgwAEMHToUDQ0N2LdvHyR+DbvzsAo8ERGR27k8BXbmzBmMHDkSADBkyBBotVo8/vjjDD+djVXgiYiI3M7lAGS1WqHR/DjKEBAQgNBQfg3bIxxV4IV0zcfFKvBERETXxeUpMCEEpk2bBq3Wvs7k8uXLeOSRRxASEuLUbuPGje7tIcmjQBKrwBMREbmFywFo6tSpTs/vu+8+t3eGWpGSibPBN0JXV8Yq8ERERB3kcgBat25dZ/aD2iJJeDv4fjxZ/7T9OUd/iIiIrhtLYXQhG40DWAWeiIjIDRiAugjjpSvQXzRjUUMOrD36swo8ERFRB7AafBdxzFEC43joaKgfe0rh3hAREXVtHAHqIo4a7EVQ++l46wEiIqKOYgDqIhqLoPaLYRFUIiKijuIUmLcynnGUv7Aznz6AwVINxgSpgQoLENLTXiKDiIiI2o0ByBs1mIGVE5wKoP4vAGgBbHc8WACViIjounEKzBs1FkBt8eNhAVQiIqKOYADyRiyASkRE1KkYgLyVowAqJLXzdhZAJSIi6jAGIG/VOAokrM7bWQKDiIiowxiAvJljFMjq+JhsUHH0h4iIyA0YgLyZYxRI7VgLpOLaHyIiIrfwigC0fPlyJCUlISgoCOnp6di5c2eLbTdu3IhRo0YhMjISISEhSEtLw9/+9jcP9tazLL0nyAVQLbo0jv4QERG5geIBaMOGDcjPz0dhYSH27NmDYcOGITs7G5WVlc22j4qKwjPPPIPS0lLs378feXl5yMvLw6effurhnntG+Q+XsKghB8dEAgJvm8/RHyIiIjeQhBBCyQ6kp6dj9OjRePXVVwEANpsNiYmJeOyxx/DUU64V/RwxYgTuvPNOLFy4sM22JpMJERERMBqNCA8P71DfPWHrIQOmv/kNBseHY/Pvb1G6O0RERIpw9/Vb0REgi8WC3bt3IysrS96mUqmQlZWF0tLSNvcXQqCkpARlZWW49dZbm21jNpthMpmcHl3JiSp7DbA+PVkElYiIyF0UDUDV1dWwWq3Q6XRO23U6HfR6fYv7GY1GhIaGQqPR4M4778Qrr7yCn/3sZ822LSoqQkREhPxITEx06zl0tpPVdQCA5OgQhXtCRETkOxRfA3Q9wsLCsHfvXuzatQsvvPAC8vPzsW3btmbbFhQUwGg0yo/Tp097trMddKLKHoBSejIAERERuYuixVCjo6OhVqthMBicthsMBsTGxra4n0qlQt++fQEAaWlpOHz4MIqKijB+/PgmbbVaLbTarlsw9ES1fQqMI0BERETuo+gIkEajwciRI1FSUiJvs9lsKCkpQUZGhsvHsdlsMJvNndFFzzOeASr2AhV7cfHkN9DVlWGwdBIpDcfs241nle4hERFRl6foCBAA5OfnY+rUqRg1ahTGjBmDZcuWoa6uDnl5eQCA3NxcJCQkoKioCIB9Tc+oUaOQkpICs9mMLVu24G9/+xtee+01JU/DPRrMwMoJQJ39FgBhADY3Dl694fgzNAaYcwAI6LqjWkREREpTPADl5OSgqqoK8+bNg16vR1paGoqLi+WF0eXl5VCpfhyoqqurw6OPPoozZ86gW7duGDhwIN4l0aNdAAAgAElEQVR66y3k5OQodQruo9YAEQlAXTWarwSvAsIT7O2IiIjouil+HyBP8/r7AB37DHjrnpZfv+9DoG9Wy68TERH5IJ+6DxA1w1EAFZLaebukZiFUIiIiN2EA8jaOAqgQVuftwspCqERERG7CAOSNUjIh4oejQdg/HsHRHyIiIrdiAPJGkgTDyD8iQLIvhJY4+kNERORWDEBeap92BPbZ+tifcPSHiIjIrRiAvNSxqjosasiBXtMbyCzk6A8REZEbMQB5qSOGi9huS8WHGRuBlAlKd4eIiMinMAB5qaMGew2w/rowhXtCRETkexiAvJDVJnC8yh6A+sWEKtwbIiIi38MA5IVOX6iHucEGbYAKiVHBSneHiIjI5yheC4wcjGccNcCAcyfOY7B0En26h0Ct32d/PaSnvU4YERERdRgDkDe4pgp8BhxV4C8CWOlowyrwREREbsMpMG/QWAW+xY+DVeCJiIjciQHIGzTW/4KthQY23gmaiIjIjRiAvIWjCrxgFXgiIqJOxwDkLRyjQBKrwBMREXU6BiBvkpIJY/dUuQo8R3+IiIg6BwOQN5Ek/DvxIbkKPEd/iIiIOgcDkJf5lyWVVeCJiIg6GQOQlzlaVYtFDTmoDUthFXgiIqJOwhshehGbTeBYZS0u21JRmTsLoT1ZB4yIiKgzcATIi5z54RIuX7FBE6BCL9YAIyIi6jQMQF7kiOEiAKBPdAgC1PxoiIiIOguvsl7kaGUtAKC/LkzhnhAREfk2rgFS2lVV4Ou/P4LBUiXGBtuACsfiZ1aBJyIicjsGICVdUwX+DwD+oAXwX8cDYBV4IiKiTsApMCWxCjwREZEiGICUxCrwREREimAAUpqjCrxNuuajYB0wIiKiTsMApDTHKJBKXDMKxDpgREREnYYByBukZOJ0t4GsAk9EROQhDEDeQJLwZrf7WAWeiIjIQxiAvMRHxoGsAk9EROQhDEBewHT5CqrrLFjUkANrj/6sAk9ERNTJvCIALV++HElJSQgKCkJ6ejp27tzZYttVq1bhlltuQffu3dG9e3dkZWW12r4rOFlVBwA4EjIK6sd2ASkTFO4RERGRb1M8AG3YsAH5+fkoLCzEnj17MGzYMGRnZ6OysrLZ9tu2bcO9996Lzz//HKWlpUhMTMRtt92Gs2fPerjn7nOi2l4DLDk6ROGeEBER+QfFA9DSpUsxffp05OXlYdCgQVixYgWCg4Oxdu3aZtu//fbbePTRR5GWloaBAwdi9erVsNlsKCkp8XDP3adxBCilJwMQERGRJygagCwWC3bv3o2srCx5m0qlQlZWFkpLS106Rn19Pa5cuYKoqKhmXzebzTCZTE4Pb3O82h6AOAJERETkGYoGoOrqalitVuh0OqftOp0Oer3epWPMnTsX8fHxTiHqakVFRYiIiJAfiYmJHe63uzWOAPWJDlW4J0RERP6hS1eDf/HFF/Huu+9i27ZtCAoKarZNQUEB8vPz5ecmk0n5EGQ8A9RVAwBsQqBb9bcYLNkwEFFAxTkgpKejSCoRERF1BkUDUHR0NNRqNQwGg9N2g8GA2NjYVvf9y1/+ghdffBGfffYZhg4d2mI7rVYLrVbrlv66RYMZWDkBqLMv8lYB+FANQA3gPUeb0BhgzgEgwIv6TURE5EMUnQLTaDQYOXKk0wLmxgXNGRkZLe63aNEiLFy4EMXFxRg1apQnuuo+ao1jdKelH70KCE+wtyMiIqJOofi3wPLz87Fq1SqsX78ehw8fxowZM1BXV4e8vDwAQG5uLgoKCuT2f/7zn/Hcc89h7dq1SEpKgl6vh16vR21trVKn0D6O4qeArYUGNpbBICIi6mSKrwHKyclBVVUV5s2bB71ej7S0NBQXF8sLo8vLy6FS/ZjTXnvtNVgsFvzqV79yOk5hYSHmz5/vya5fv5RMe7mLc/vtdb8aSWogbijLYBAREXUySQghlO6EJ5lMJkRERMBoNCI8PFy5jhz7DHjrnqbb7/sQ6Nv8N9qIiIj8lbuv34pPgfktxyiQ1fERCEnFIqhEREQewgCkFElC3U8KoHasBZIE1/4QERF5CgOQgr4LGY19tj72Jxz9ISIi8hgGIAUdrazFooYcnA3oBWQWcvSHiIjIQxiAFHS0shbbbalYM2wDkDJB6e4QERH5DQYgBR0xXAQA9NOxBhgREZEnMQAp6Fil/eaN/RmAiIiIPErxGyH6lauKoNZaGhBlOowoCehv0wEV5SyCSkRE5CEMQJ5yTRHUUACbG2udrnf8ySKoREREHsEpME9hEVQiIiKvwQDkKSyCSkRE5DUYgDypsQiqpHbeLql5I0QiIiIPYgDypMZRoKsrwAP25xz9ISIi8hgGIE9LyYQ1djgaRGMRVI7+EBEReRoDkKdJEk4OnYMAqbEIKkd/iIiIPI0BSAF7AkawCCoREZGCGIAUcLTKXgS1KiiJRVCJiIgUwACkgCMGexHUrRP+PxZBJSIiUgADkAJYA4yIiEhZDEAeVmtuwNmaSwCAfjFhCveGiIjIPzEAeVjj6E9MmBYRwYEK94aIiMg/sRiqJ1xVBb7yiAGDpZNI6x4BVOy1v84q8ERERB7FANTZrqkCfxuA27QAKgGsdLRhFXgiIiKP4hRYZ2MVeCIiIq/DANTZWAWeiIjI6zAAeYKjCrxgFXgiIiKvwADkCY5RIIlV4ImIiLwCA5CnpGTih8ghchV4jv4QEREphwHIUyQJ/4p/SK4Cz9EfIiIi5TAAedDnV4awCjwREZEXYADyoJPn67GoIQe14SmsAk9ERKQg3gjRQ4QQOFldh3pbKirvn4XQniyESkREpBSOAHmI3nQZ9RYrAlQSEqOCle4OERGRX2MA8pCTVXUAgF5RwQhU88dORESkJMWvxMuXL0dSUhKCgoKQnp6OnTt3ttj24MGDuOeee5CUlARJkrBs2TIP9rRjjlfbA1CfniEK94SIiIgUDUAbNmxAfn4+CgsLsWfPHgwbNgzZ2dmorKxstn19fT369OmDF198EbGxsR7ubcc0jgAlRzMAERERKU3RALR06VJMnz4deXl5GDRoEFasWIHg4GCsXbu22fajR4/G4sWL8Zvf/AZabReonG48A1TsBSr2wnr2vxgsncRITbm8DcazSveQiIjILyn2LTCLxYLdu3ejoKBA3qZSqZCVlYXS0lK3vY/ZbIbZbJafm0wmtx27VQ1mYOUEoM4+mrUAALQAtjseABAaA8w5AAR0gTBHRETkQxQbAaqurobVaoVOp3PartPpoNfr3fY+RUVFiIiIkB+JiYluO3ar1BogIgEt/4hVQHiCvR0RERF5lOKLoDtbQUEBjEaj/Dh9+rRn3thRABWwtdDAxlIYREREClFsCiw6OhpqtRoGg8Fpu8FgcOsCZ61Wq9x6oZRMIH44bOf2QSWuCkKSGogbylIYREREClFsBEij0WDkyJEoKSmRt9lsNpSUlCAjI0OpbrmXYxTIKfwALIRKRESkMEVLYeTn52Pq1KkYNWoUxowZg2XLlqGurg55eXkAgNzcXCQkJKCoqAiAfeH0oUOH5L+fPXsWe/fuRWhoKPr27avYebQqJRPlQQMQf+movRI8R3+IiIgUp2gAysnJQVVVFebNmwe9Xo+0tDQUFxfLC6PLy8uhUv04SFVRUYHhw4fLz//yl7/gL3/5C8aNG4dt27Z5uvuukSSsCvgtFkqF9ucc/SEiIlKcJIQQSnfCk0wmEyIiImA0GhEeHt7p72e1CQya9wneUz2DYaoTQPxwYPrnDEBERETt4O7rt89/C0xpZ36oh7lB4CVxL0T0ACCzkOGHiIhIYYpOgfmDo4ZaAEBldAakWU8q3BsiIu9ntVpx5coVpbtBCtBoNE5LXzoTA1AnO1J5EQDQTxeqcE+IiLybEAJ6vR41NTVKd4UUolKpkJycDI2m828SzADUyY45RoD668IU7gkRkXdrDD8xMTEIDg6GxOUCfsVms6GiogLnzp1Dr169Ov3zZwDqZI0jQH1jOAJERNQSq9Uqh58ePXoo3R1SSM+ePVFRUYGGhgYEBgZ26nsxALmb8QxQVw0AsAkBTeW3GCzZMESKAir0QEhPR40wIiJq1LjmJzg4WOGekJIap76sVisDUJdyTQV4FYCNagBqAO852rACPBFRizjt5d88+fnza/DuxArwREREXQIDkDuxAjwREV1j27ZtkCSpy327bfz48ZgzZ47bjjdt2jRMmjTJbcfrKAYgd3NUgIekdt4uqe3bWQOMiMhnSJLU6mP+/PlKd7FNLQW0jRs3YuHChQr1qvNxDZC7NY4CvXWP83bWACMi8jnnzp2T/75hwwbMmzcPZWVl8rbQ0FB88803SnQNFoulQ/fTiYqKcmNvvA9HgDpDSiZE/HA0CPuPV3D0h4io3YQQqLc0ePzRnhKZsbGx8iMiIgKSJDltCw398RYou3fvxqhRoxAcHIyxY8c6BSUA+PjjjzFixAgEBQWhT58+WLBgARoaGuTXy8vLcddddyE0NBTh4eGYPHkyDAaD/Pr8+fORlpaG1atXIzk5GUFBQQDs99cpKipCcnIyunXrhmHDhuGDDz4AAHz//feYMGECAKB79+6QJAnTpk0D0HQKzGw2Y+7cuUhMTIRWq0Xfvn2xZs0aAPZvbT344IPyewwYMAAvv/yyyz9HJXAEqDNIEs6PeRLRm+61P+XoDxFRu126YsWgeZ96/H0PPZ+NYI37L4/PPPMMlixZgp49e+KRRx7BAw88gO3btwMAvvzyS+Tm5uKvf/0rbrnlFhw/fhwPPfQQAKCwsBA2m00OP1988QUaGhowc+ZM5OTkYNu2bfJ7HDt2DB9++CE2btwItdq+FKOoqAhvvfUWVqxYgX79+uHf//437rvvPvTs2RM333wzPvzwQ9xzzz0oKytDeHg4unXr1mz/c3NzUVpair/+9a8YNmwYTp48iepqx21fbDbccMMNeP/999GjRw/s2LEDDz30EOLi4jB58mS3/yzdgQGokxwIGonutj4/VoDn6A8RkV974YUXMG7cOADAU089hTvvvBOXL19GUFAQFixYgKeeegpTp04FAPTp0wcLFy7Ek08+icLCQpSUlODbb7/FyZMnkZiYCAB48803MXjwYOzatQujR48GYJ/2evPNN9GzZ08A9lGbP/3pT/jss8+QkZEhH/urr77C66+/jnHjxslTXTExMYiMjGy270eOHMF7772HrVu3IisrSz5Oo8DAQCxYsEB+npycjNLSUrz33nsMQP7mWFUdPm/IwV9C/o44VoAnImq3boFqHHo+W5H37QxDhw6V/x4XFwcAqKysRK9evbBv3z5s374dL7zwgtzGarXi8uXLqK+vx+HDh5GYmCiHHwAYNGgQIiMjcfjwYTkA9e7dWw4/gH1EqL6+Hj/72c+c+mKxWDB8+HCX+753716o1Wo5wDVn+fLlWLt2LcrLy3Hp0iVYLBakpaW5/B6exgDUSY5X1WK7LRXvjH4f+SkDlO4OEVGXI0lSp0xFKeXqOxs33vDPZrPfNqW2thYLFizA3Xff3WS/xrU8rggJCXF6Xltrr0e5efNmJCQ4VyHQal2/IW9L02KN3n33XTzxxBNYsmQJMjIyEBYWhsWLF+Prr792+T08zXd+s7zMUUcR1BTWACMiojaMGDECZWVl6Nu3b7Ov33jjjTh9+jROnz4tjwIdOnQINTU1GDRoUIvHHTRoELRaLcrLy1scvbm6/ERLUlNTYbPZ8MUXX8hTYFfbvn07xo4di0cffVTedvz48RaP5w0YgDqBEAJHK+0BqF8Mq8ATEVHr5s2bh5///Ofo1asXfvWrX0GlUmHfvn04cOAA/vd//xdZWVlITU3FlClTsGzZMjQ0NODRRx/FuHHjMGrUqBaPGxYWhieeeAKPP/44bDYbbr75ZhiNRmzfvh3h4eGYOnUqevfuDUmS8I9//AN33HEHunXr5vTtNQBISkrC1KlT8cADD8iLoE+dOoXKykpMnjwZ/fr1w5tvvolPP/0UycnJ+Nvf/oZdu3YhOTm5s390141fg+8E1bUWGC9dgSQBfXqGtL0DERH5tezsbPzjH//AP//5T4wePRo33XQTXnrpJfTu3RuAfcrs448/Rvfu3XHrrbciKysLffr0wYYNG9o89sKFC/Hcc8+hqKgIN954IyZOnIjNmzfL4SQhIUFehK3T6TBr1qxmj/Paa6/hV7/6FR599FEMHDgQ06dPR11dHQDg4Ycfxt13342cnBykp6fj/PnzTqNB3kgS7bnhgQ8wmUyIiIiA0WhEeHi4+w58VRX4/WeMKPjoW8RFBGF1riOZswo8EVGLLl++jJMnTzrdv4b8T2u/B+6+fnMKzB2uqQI/FMBmLYDLAFY62rAKPBERkdfgFJg7sAo8ERFRl8IA5A6sAk9ERNSlMAC5C6vAExERdRkMQO7SOAokrrmPAuuAEREReR0GIHdKyURdj6FyFXiO/hAREXknBiB3kiR8kzITAZJjLRBHf4iIiLwSA5CbfWVLxT6bo0IuR3+IiIi8EgOQmx2rqsOihhwYQ/oArAJPRETklXgjRDc7WlmLM7ZUfHfPdKT36aF0d4iI/MdVd+Rvlh/ekX/atGmoqanBpk2blO6K12EAcqN6SwPO1lwCAPTTsQgqEZHHXHNH/mZ10h35p02bhvXr1zfZnp2djeLiYre+V3u9/PLL8JaKV5Ik4aOPPsKkSZOU7goABiC3OlFVByGAqBANokJ412ciIo9pvCN/XTWavylt596Rf+LEiVi3bp3TNq1WudJHVqsVkiQhIiJCsT54O64BcqNjlbUAgL4xoQr3hIjIzyh8R36tVovY2FinR/fu3bFt2zZoNBp8+eWXcttFixYhJiYGBoMBADB+/HjMmjULs2bNQkREBKKjo/Hcc885jdyYzWY88cQTSEhIQEhICNLT07Ft2zb59TfeeAORkZH4f//v/2HQoEHQarUoLy/HtGnTnEZcxo8fj8ceewxz5sxB9+7dodPpsGrVKtTV1SEvLw9hYWHo27cvPvnkE6fzO3DgAG6//XaEhoZCp9Ph/vvvR3V1tdNxf//73+PJJ59EVFQUYmNjMX/+fPn1pKQkAMD//M//QJIk+bmSGIA6yngGqNgLVOyF8cQuDJZO4tbQs/I2GM8q3UMiIv/ghXfkHz9+PObMmYP7778fRqMR//3vf/Hcc89h9erV0Ol0crv169cjICAAO3fuxMsvv4ylS5di9erV8uuzZs1CaWkp3n33Xezfvx+//vWvMXHiRBw9elRuU19fjz//+c9YvXo1Dh48iJiYmGb7tH79ekRHR2Pnzp147LHHMGPGDPz617/G2LFjsWfPHtx22224//77UV9fDwCoqanBT3/6UwwfPhzffPMNiouLYTAYMHny5CbHDQkJwddff41Fixbh+eefx9atWwEAu3btAgCsW7cO586dk58rSniBV199VfTu3VtotVoxZswY8fXXX7fa/r333hMDBgwQWq1WDBkyRGzevNnl9zIajQKAMBqNHe22EFcuC7GorxCF4S0/Fve1tyMiohZdunRJHDp0SFy6dKljBzq6tfl/i49udU9HmzF16lShVqtFSEiI0+OFF14QQghhNptFWlqamDx5shg0aJCYPn260/7jxo0TN954o7DZbPK2uXPnihtvvFEIIcSpU6eEWq0WZ8+eddovMzNTFBQUCCGEWLdunQAg9u7d26Rvd911l9N73XzzzfLzhoYGERISIu6//35527lz5wQAUVpaKoQQYuHCheK2225zOu7p06cFAFFWVtbscYUQYvTo0WLu3LnycwDio48+avHnKETrvwduvX4LIRRfA7Rhwwbk5+djxYoVSE9Px7Jly5CdnY2ysrJm0+uOHTtw7733oqioCD//+c/x97//HZMmTcKePXswZMgQz3Ze4TlnIiK6RuMo0Ln99pvRSmogbminj/5MmDABr732mtO2qKgoAIBGo8Hbb7+NoUOHonfv3njppZea7H/TTTdBump6LiMjA0uWLIHVasW3334Lq9WK/v37O+1jNpvRo8eP3zbWaDQYOnRom329uo1arUaPHj2Qmpoqb2scmaqstC8o37dvHz7//HOEhjZd3nH8+HG5X9e+d1xcnHwMb6R4AFq6dCmmT5+OvLw8AMCKFSuwefNmrF27Fk899VST9i+//DImTpyIP/7xjwCAhQsXYuvWrXj11VexYsUKj/ZdnnN+654WGrAKPBGRR13777KH7sgfEhKCvn37tvj6jh07AAAXLlzAhQsXEBIS4vKxa2troVarsXv3bqjVztN7V4eSbt26OYWolgQGBjo9lyTJaVvjMWw2m/z+v/jFL/DnP/+5ybHi4uJaPW7jMbyRomuALBYLdu/ejaysLHmbSqVCVlYWSktLm92ntLTUqT1g/6phS+3NZjNMJpPTw60c/7chvGjOmYjIrzWOAgFe8e/w8ePH8fjjj2PVqlVIT0/H1KlTmwSDr7/+2un5f/7zH/Tr1w9qtRrDhw+H1WpFZWUl+vbt6/SIjY3t9P6PGDECBw8eRFJSUpP3b0+QCwwMhNVqbbuhhygagKqrq2G1Wp0WggH24Te9Xt/sPnq9vl3ti4qKEBERIT8SExPd0/lGjv/bkFgFnojIO0iS/U780QM8dkd+s9kMvV7v9Gi8xt13333Izs5GXl4e1q1bh/3792PJkiVO+5eXlyM/Px9lZWV455138Morr2D27NkAgP79+2PKlCnIzc3Fxo0bcfLkSezcuRNFRUXYvHlzp5/bzJkzceHCBdx7773YtWsXjh8/jk8//RR5eXntCjRJSUkoKSmBXq/HDz/80Ik9do3PfwusoKAARqNRfpw+fdr9b3LtKBBHf4iIlJUyAZi10/6nBxQXFyMuLs7pcfPNN+OFF17AqVOn8PrrrwOwTxmtXLkSzz77LPbt2yfvn5ubi0uXLmHMmDGYOXMmZs+ejYceekh+fd26dcjNzcUf/vAHDBgwAJMmTcKuXbvQq1evTj+3+Ph4bN++HVarFbfddhtSU1MxZ84cREZGQqVyPUYsWbIEW7duRWJiIoYPH96JPXaN5FiZrQiLxYLg4GB88MEHTvcpmDp1KmpqavDxxx832adXr17Iz8/HnDlz5G2FhYXYtGmT0y9TS0wmEyIiImA0GhEeHu6eEwGAY585rwW670Ogb1bL7YmISHb58mWcPHkSycnJCAoKUro7HjV+/HikpaVh2bJlSndFca39Hrj7+q3oCJBGo8HIkSNRUlIib7PZbCgpKUFGRkaz+2RkZDi1B4CtW7e22N5jvGzOmYiIiFqm+BRYfn4+Vq1ahfXr1+Pw4cOYMWOGfEdKwD4sWFBQILefPXs2iouLsWTJEnz33XeYP38+vvnmG8yaNUupU7BTYM6ZiIiIro/iX4PPyclBVVUV5s2bB71ej7S0NBQXF8sLncvLy53mGMeOHYu///3vePbZZ/H000+jX79+2LRpk+fvAdScxjlnIiIiF11d0oI8R9E1QErotDVARER03fx5DRD9yG/WABEREV3Nz/6fnK7hyc+fAYiIiBTXeBfhxgKc5J8sFgsANLnjdWdQfA0QERGRWq1GZGSkXDsqODjYpbIO5DtsNhuqqqoQHByMgIDOjycMQERE5BUayzp4cwFN6lwqlQq9evXySPhlACIiIq8gSRLi4uIQExODK1euKN0dUoBGo2nX3aU7ggGIiIi8ilqt9sgaEPJvXARNREREfocBiIiIiPwOAxARERH5Hb9bA9R4kyWTyaRwT4iIiMhVjddtd90s0e8C0MWLFwEAiYmJCveEiIiI2uvixYuIiIjo8HH8rhaYzWZDRUUFwsLC3H6fAZPJhMTERJw+fdpn64z5wzkCPE9f4g/nCPA8fYk/nCPQ/vMUQuDixYuIj493y1fl/W4ESKVS4YYbbujU9wgPD/fpX1rAP84R4Hn6En84R4Dn6Uv84RyB9p2nO0Z+GnERNBEREfkdBiAiIiLyO+r58+fPV7oTvkStVmP8+PEeKeSmFH84R4Dn6Uv84RwBnqcv8YdzBJQ9T79bBE1ERETEKTAiIiLyOwxARERE5HcYgIiIiMjvMAARERGR32EAcpPly5cjKSkJQUFBSE9Px86dO5XuUouKioowevRohIWFISYmBpMmTUJZWZlTm/Hjx0OSJKfHI4884tSmvLwcd955J4KDgxETE4M//vGPaGhocGqzbds2jBgxAlqtFn379sUbb7zR2acnmz9/fpNzGDhwoPz65cuXMXPmTPTo0QOhoaG45557YDAYnI7h7eeYlJTU5BwlScLMmTMBdN3P8d///jd+8YtfID4+HpIkYdOmTU6vCyEwb948xMXFoVu3bsjKysLRo0ed2ly4cAFTpkxBeHg4IiMj8eCDD6K2ttapzf79+3HLLbcgKCgIiYmJWLRoUZO+vP/++xg4cCCCgoKQmpqKLVu2eOQ8r1y5grlz5yI1NRUhISGIj49Hbm4uKioqnI7R3O/Aiy++6DXn2dZnOW3atCb9nzhxolObrv5ZAmj2v1NJkrB48WK5jbd/lq5cOzz572qHr7uCOuzdd98VGo1GrF27Vhw8eFBMnz5dREZGCoPBoHTXmpWdnS3WrVsnDhw4IPbu3SvuuOMO0atXL1FbWyu3GTdunJg+fbo4d+6c/DAajfLrDQ0NYsiQISIrK0v897//FVu2bBHR0dGioKBAbnPixAkRHBws8vPzxaFDh8Qrr7wi1Gq1KC4u9sh5FhYWisGDBzudQ1VVlfz6I488IhITE0VJSYn45ptvxE033STGjh3bpc6xsrLS6fy2bt0qAIjPP/9cCNF1P8ctW7aIZ555RmzcuFEAEB999JHT6y+++KKIiIgQmzZtEvv27RO//OUvRXJysrh06ZLcZuLEiWLYsGHiP//5j/jyyy9F3759xb333iu/bjQahU6nE1OmTBEHDhwQ77zzjujWrZt4/fXX5U9T8SEAAAyHSURBVDbbt28XarVaLFq0SBw6dEg8++yzIjAwUHz77bedfp41NTUiKytLbNiwQXz33XeitLRUjBkzRowcOdLpGL179xbPP/+802d89X/LSp9nW5/l1KlTxcSJE536f+HCBac2Xf2zFEI4nd+5c+fE2rVrhSRJ4vjx43Ibb/8sXbl2eOrfVXdcdxmA3GDMmDFi5syZ8nOr1Sri4+NFUVGRgr1yXWVlpQAgvvjiC3nbuHHjxOzZs1vcZ8uWLUKlUgm9Xi9ve+2110R4eLgwm81CCCGefPJJMXjwYKf9cnJyRHZ2tpvPoHmFhYVi2LBhzb5WU1MjAgMDxfvvvy9vO3z4sAAgSktLhRBd4xyvNXv2bJGSkiJsNpsQwjc+x2svJjabTcTGxorFixfL22pqaoRWqxXvvPOOEEKIQ4cOCQBi165dcptPPvlESJIkzp49K4QQ4v/+7/9E9+7d5fMUQoi5c+eKAQMGyM8nT54s7rzzTqf+pKeni4cffti9Jymanmdzdu7cKQCIU6dOydt69+4tXnrppRb38abzbCkA3XXXXS3u46uf5V133SV++tOfOm3rSp+lEE2vHZ78d9Ud111OgXWQxWLB7t27kZWVJW9TqVTIyspCaWmpgj1zndFoBABERUU5bX/77bcRHR2NIUOGoKCgAPX19fJrpaWlSE1NhU6nk7dlZ2fDZDLh4MGDcpurfy6NbTz5czl69Cji4+PRp08fTJkyBeXl5QCA3bt348qVK079GzhwIHr16iX3r6ucYyOLxYK33noLDzzwgFOhX1/4HK928uRJ6PV6pz5FREQgPT3d6bOLjIzEqFGj5DZZWVlQqVT4+uuv5Ta33norNBqN3CY7OxtlZWX44Ycf5DbedO5GoxGSJCEyMtJp+4svvogePXpg+PDhWLx4sdN0Qlc4z23btiEmJgYDBgzAjBkzcP78eaf++9pnaTAYsHnzZjz44INNXutKn+W11w5P/bvqruuub99i0gOqq6thtVqdPkwA0Ol0+O677xTqletsNhvmzJmDn/zkJxgyZIi8/be//S169+6N+Ph47N+/H3PnzkVZWRk2btwIANDr9c2ec+NrrbUxmUy4dOkSunXr1pmnhvT0dLzxxhsYMGAAzp07hwULFuCWW27BgQMHoNfrodFomlxIdDpdm/1vfK21Np46x6tt2rQJNTU1mDZtmrzNFz7HazX2q7k+Xd3nmJgYp9cDAgIQFRXl1CY5ObnJMRpf6969e4vn3ngMT7p8+TLmzp2Le++916lw5O9//3uMGDECUVFR2LFjBwoKCnDu3DksXboUgPef58SJE3H33XcjOTkZx48fx9NPP43bb78dpaWlUKvVPvlZrl+/HmFhYbj77rudtnelz7K5a4en/l394Ycf3HLdZQDyczNnzsSBAwfw1VdfOW1/6KGH5L+npqYiLi4OmZmZOH78OFJSUjzdzety++23y38fOnQo0tPT0bt3b7z33nsev2h7wpo1a3D77bcjPj5e3uYLnyPZF0RPnjwZQgi89tprTq/l5+fLfx86dCg0Gg0efvhhFBUVQavVerqr7fab3/xG/ntqaiqGDh2KlJQUbNu2DZmZmQr2rPOsXbsWU6ZMQVBQkNP2rvRZtnTt6Eo4BdZB0dHRUKvVTVa5GwwGxMbGKtQr18yaNQv/+Mc/8Pnnn+OGG25otW16ejoA4NixYwCA2NjYZs+58bXW2oSHhysSQCIjI9G/f38cO3YMsbGxsFgsqKmpadK/tvrf+FprbTx9jqdOncJnn32G3/3ud62284XPsbFfrf03F/v/t3d/IU1+fxzAP2Y+y2lNzeXENBu5cBZZRjIKCQpJoiK6kC7sD1RURghTugpBIryIQqQiIuyiC+mi8KIo/Jv9MUFxaSiWtjmKgWBZhoX/3r+Lfhs9+JdvOp+59wu82c7ZPmdnz3M+nuecZyaT9Pf3q54fGxuTr1+/zkv/+vPY9iY/fX19Ul1drZr9mUpmZqaMjY2Jy+USkcBpp5fZbJbY2FjVd3Sp9KWIyMuXL6W7u3vWY1VEu3053djhr/PqfI27TID+kaIokpGRIbW1tb7HJiYmpLa2Vmw22yJGNj0AcuHCBXn8+LHU1dVNmlKdisPhEBGR+Ph4ERGx2WzS0dGhOjF5T85Wq9VX5u/PxVtmsT6Xnz9/Sm9vr8THx0tGRoaEhYWp4uvu7ha32+2LL5DaWFFRIWvWrJH9+/fPWG4p9OP69evFZDKpYvrx44c0Nzer+m5wcFBaW1t9Zerq6mRiYsKXBNpsNmlsbJTR0VFfmerqatm4caNER0f7yixm273Jz8ePH6WmpkZWr149ax2HwyHLli3zXTYKhHb+7fPnzzIwMKD6ji6FvvS6d++eZGRkyJYtW2Ytq7W+nG3s8Nd5dd7G3Tkvl6ZpVVZWQqfT4f79++js7MSZM2cQFRWlWuWuJefOnYPBYEBDQ4Nqu+Xw8DAAoKenByUlJWhpaYHT6URVVRXMZjOysrJ8r+HdypidnQ2Hw4Fnz57BaDROuZWxqKgIXV1duHnzpl+3iNvtdjQ0NMDpdOL169fYu3cvYmNj0d/fD+DPds2kpCTU1dWhpaUFNpsNNpstoNoI/Nn9kJSUhEuXLqkeD+R+HBoaQltbG9ra2iAiuH79Otra2ny7n0pLSxEVFYWqqiq0t7fj0KFDU26D37p1K5qbm/Hq1SukpKSotk4PDg4iLi4OeXl5eP/+PSorK6HX6ydtKV6+fDmuXbuGrq4uFBcXz+vW6ZnaOTIygoMHD2Lt2rVwOByqY9W7W+bNmze4ceMGHA4Hent78eDBAxiNRhw7dkwz7ZypjUNDQygsLERTUxOcTidqamqwbds2pKSk4Pfv377XCPS+9Pr+/Tv0ej1u3749qX4g9OVsYwfgv/PqfIy7TIDmSXl5OZKSkqAoCnbs2IG3b98udkjTEpEp/yoqKgAAbrcbWVlZiImJgU6nw4YNG1BUVKS6fwwAuFwu5OTkIDw8HLGxsbDb7RgdHVWVqa+vR3p6OhRFgdls9r2HP+Tm5iI+Ph6KoiAhIQG5ubno6enxPf/r1y+cP38e0dHR0Ov1OHz4MDwej+o1tN5GAHj+/DlEBN3d3arHA7kf6+vrp/yOHj9+HMCfrfCXL19GXFwcdDod9uzZM6n9AwMDOHr0KCIjI7Fq1SqcPHkSQ0NDqjLv3r3Drl27oNPpkJCQgNLS0kmxPHz4EBaLBYqiIC0tDU+ePPFLO51O57THqvc+T62trcjMzITBYMCKFSuQmpqKq1evqpKHxW7nTG0cHh5GdnY2jEYjwsLCsG7dOpw+fXrSIBbofel1584dhIeHY3BwcFL9QOjL2cYOwL/n1X8dd0P+3ygiIiKioME1QERERBR0mAARERFR0GECREREREGHCRAREREFHSZAREREFHSYABEREVHQYQJEREREQYcJEBEREQUdJkBEFPCSk5MlJCREQkJCJv0Q41RcLpevfHp6uh8iJCKtYQJERJq1e/duKSgomFPZkpIS8Xg8YjAYZi2bmJgoHo9H7Hb7v4ZIRAFq+WIHQEQ0H1auXCkmk2lOZUNDQ8VkMklkZOQCR0VEWsUZICLSpBMnTsiLFy+krKzMd7nK5XLNuX5fX58cOHBAoqOjJSIiQtLS0uTp06cLFzARBRTOABGRJpWVlcmHDx9k06ZNUlJSIiIiRqNxzvXz8/NlZGREGhsbJSIiQjo7OznjQ0Q+TICISJMMBoMoiiJ6vX7Ol7b+5na75ciRI7J582YRETGbzfMdIhEFMF4CI6Il6eLFi3LlyhXZuXOnFBcXS3t7+2KHREQawgSIiJakU6dOyadPnyQvL086Ojpk+/btUl5evthhEZFGMAEiIs1SFEXGx8f/c/3ExEQ5e/asPHr0SOx2u9y9e3ceoyOiQMY1QESkWcnJydLc3Cwul0siIyMlJiZGli2b2/9tBQUFkpOTIxaLRb59+yb19fWSmpq6wBETUaDgDBARaVZhYaGEhoaK1WoVo9Eobrd7znXHx8clPz9fUlNTZd++fWKxWOTWrVsLGC0RBRLOABGRZlksFmlqavpPdbneh4hmEgIAix0EEdG/SE5OFo/HI2FhYfLly5dZfw7D7XaL1WqVkZERsVqt4nA4/BQpEWkFEyAiCnh9fX0yOjoqIn/u9zPbOqGxsTHfXaV1Op0kJiYudIhEpDFMgIiIiCjocBE0ERERBR0mQERERBR0mAARERFR0GECREREREGHCRAREREFHSZAREREFHSYABEREVHQYQJEREREQed/QLwuSH7RkbIAAAAASUVORK5CYII=",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.027535146902259448"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x_init = paramOpt\n",
    "vis_error(x_init, exp_data1, core_props, fluids, core_flood)\n",
    "error_calc(x_init, exp_data1, core_props, fluids, core_flood)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.legend.Legend object at 0x7f15558edb50>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rel_perm_param=[1.0, 0.8, 3, 4, 0.2, 0.2]\n",
    "rel_perms2 = FF.oil_water_rel_perms(krw0=rel_perm_param[1], kro0=rel_perm_param[2], \n",
    "    swc=rel_perm_param[5], sor=rel_perm_param[6], nw=rel_perm_param[3], no = rel_perm_param[4])\n",
    "FF.visualize(rel_perms2, fluids)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.4",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
